Prime p₀= 1095559971005777657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 10 2 40 2 34 2 28 2 (?)
a_n: 0 2 30 32 120 122 132 134 174 176 210 212 240 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: stoneageman
db: batch=76, k=14, 28 88 10 40 34 28

SPT(16)	1095559184764667897	0 26 30 32 60 84 86 110 156 180 182 206 234 236 240 266	-786241109760
SPT(16)	1095559231701916099	0 34 48 108 114 130 154 198 340 384 408 424 430 490 504 538	-739303861558
SPT(16)	1095559383580687019	0 24 38 42 60 74 78 92 210 224 228 242 260 264 278 302	-587425090638
TPT(14)	1095559503158137571	0 2 78 80 108 110 180 182 240 242 246 248 306 308	-467847640086
SPT(16)	1095559676012266651	0 6 18 28 82 106 142 156 172 186 222 246 300 310 322 328	-294993511006
SPT(20)	1095559772854670791	0 16 40 42 78 82 108 118 120 136 222 238 240 250 276 280 316 318 342 358	-198151106866
SPT(16)	1095560099798923427	0 26 32 54 110 126 132 144 212 224 230 246 302 324 330 356	128793145770
SPT(16)	1095560220751029347	0 20 26 30 44 96 132 146 150 164 200 252 266 270 276 296	249745251690
SPT(16)	1095561895510377557	0 20 84 96 104 170 174 182 204 212 216 282 290 302 366 386	1924504599900
STPT(10)	1095561924107817557	0 2 30 32 42 44 54 56 84 86	1953102039900
SPT(18)	1095562379851372673	0 56 80 84 114 116 158 164 170 204 210 216 258 260 290 294 318 374	2408845595016