Prime p₀= 1270444115998542647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 28 2 46 2 40 2 (?)
a_n: 0 2 24 26 42 44 84 86 114 116 162 164 204 206
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: 206
Found by: Theadalus
db: batch=77, k=14, 22 16 40 28 46 40

SPT(16)	1270442158061416271	0 68 140 158 170 222 242 260 288 306 326 378 390 408 480 548	-1957937126376
SPT(16)	1270442541113717369	0 38 138 150 168 192 198 230 300 332 338 362 380 392 492 530	-1574884825278
SPT(16)	1270443100153357657	0 22 30 36 72 94 120 130 216 226 252 274 310 316 324 346	-1015845184990
SPT(16)	1270443151556890739	0 8 24 42 60 102 108 140 162 194 200 242 260 278 294 302	-964441651908
SPT(16)	1270443222991349377	0 24 40 64 106 112 120 124 132 136 144 150 192 216 232 256	-893007193270
SPT(16)	1270443884035671187	0 10 100 120 124 126 142 150 166 174 190 192 196 216 306 316	-231962871460
SPT(16)	1270444225946443663	0 34 66 76 156 168 234 258 346 370 436 448 528 538 570 604	109947901016
SPT(16)	1270444351781980027	0 22 24 60 100 156 186 220 246 280 310 366 406 442 444 466	235783437380
STPT(10)	1270444454160389411	0 2 36 38 78 80 120 122 156 158	338161846764
STPT(10)	1270444473651641927	0 2 60 62 72 74 84 86 144 146	357653099280
SPT(16)	1270444540488522887	0 12 54 60 96 116 126 206 210 290 300 320 356 362 404 416	424489980240