Prime p₀= 1095559503158137571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 70 2 58 2 4 2 58 2 (?)
a_n: 0 2 78 80 108 110 180 182 240 242 246 248 306 308
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: 308
Found by: stoneageman
db: batch=76, k=14, 76 28 70 58 4 58

SPT(16)	1095558451471871843	0 14 26 60 78 150 164 180 224 240 254 326 344 378 390 404	-1051686265728
TPT(14)	1095558703983398657	0 2 30 32 60 62 114 116 162 164 210 212 252 254	-799174738914
STPT(10)	1095559035155631251	0 2 6 8 18 20 30 32 36 38	-468002506320
SPT(16)	1095559184764667897	0 26 30 32 60 84 86 110 156 180 182 206 234 236 240 266	-318393469674
SPT(16)	1095559231701916099	0 34 48 108 114 130 154 198 340 384 408 424 430 490 504 538	-271456221472
SPT(16)	1095559383580687019	0 24 38 42 60 74 78 92 210 224 228 242 260 264 278 302	-119577450552
SPT(16)	1095559676012266651	0 6 18 28 82 106 142 156 172 186 222 246 300 310 322 328	172854129080
SPT(20)	1095559772854670791	0 16 40 42 78 82 108 118 120 136 222 238 240 250 276 280 316 318 342 358	269696533220
TPT(14)	1095559971005777657	0 2 30 32 120 122 132 134 174 176 210 212 240 242	467847640086
SPT(16)	1095560099798923427	0 26 32 54 110 126 132 144 212 224 230 246 302 324 330 356	596640785856
SPT(16)	1095560220751029347	0 20 26 30 44 96 132 146 150 164 200 252 266 270 276 296	717592891776