Prime p₀= 2629079038138236161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 106 2 16 2 28 2 (?)
a_n: 0 2 18 20 30 32 60 62 168 170 186 188 216 218
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: 218
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 10 28 106 16 28

SPT(16)	2629077792456966259	0 10 22 78 94 100 184 192 250 258 342 348 364 420 432 442	-1245681269902
STPT(10)	2629077836511176597	0 2 30 32 42 44 54 56 84 86	-1201627059564
STPT(10)	2629077986091134861	0 2 6 8 48 50 90 92 96 98	-1052047101300
SPT(16)	2629078248106460939	0 24 42 48 62 68 92 120 122 150 174 180 194 200 218 242	-790031775222
SPT(16)	2629078978974768449	0 12 38 50 72 122 128 138 164 174 180 230 252 264 290 302	-59163467712
SPT(16)	2629079021188518911	0 18 36 48 90 108 126 132 176 182 200 218 260 272 290 308	-16949717250
SPT(18)	2629079530276525367	0 6 32 66 84 114 116 132 170 186 224 240 242 272 290 324 350 356	492138289206
SPT(16)	2629079659347552077	0 36 42 116 192 252 260 276 326 342 350 410 486 560 566 602	621209315916
SPT(16)	2629079684649260461	0 58 72 112 126 136 150 178 180 208 222 232 246 286 300 358	646511024300
SPT(16)	2629079935969137263	0 44 48 54 78 104 144 156 158 170 210 236 260 266 270 314	897830901102
SPT(18)	2629080147081768857	0 54 74 96 144 152 180 182 236 240 294 296 324 332 380 402 422 476	1108943532696