Prime p₀= 2127734882316288797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 118 2 10 2 16 2 10 2 (?)
a_n: 0 2 54 56 60 62 180 182 192 194 210 212 222 224
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: 224
Found by: Odd-Rod
db: batch=80, k=14, 52 4 118 10 16 10

STPT(10)	2127732879935128811	0 2 36 38 78 80 120 122 156 158	-2002381159986
SPT(16)	2127733646681154823	0 58 70 94 106 114 138 150 154 166 190 198 210 234 246 304	-1235635133974
SPT(16)	2127734016951551867	0 24 36 96 176 206 234 266 270 302 330 360 440 500 512 536	-865364736930
TPT(14)	2127734038031972327	0 2 42 44 84 86 144 146 180 182 312 314 390 392	-844284316470
SPT(16)	2127734119258029487	0 10 30 52 64 76 84 100 126 142 150 162 174 196 216 226	-763058259310
SPT(16)	2127734483883172873	0 30 46 48 78 90 156 198 286 328 394 406 436 438 454 484	-398433115924
SPT(16)	2127734900701649599	0 12 28 48 84 90 94 114 118 138 142 148 184 204 220 232	18385360802
SPT(16)	2127735093532905149	0 14 20 42 62 90 144 210 242 308 362 390 410 432 438 452	211216616352
SPT(16)	2127735230752675241	0 20 78 168 192 218 258 288 320 350 390 416 440 530 588 608	348436386444
STPT(10)	2127735349131813479	0 2 42 44 60 62 78 80 120 122	466815524682
SPT(16)	2127735830706170791	0 10 22 58 60 66 88 96 112 120 142 148 150 186 198 208	948389881994