Prime p₀= 1091616253647823289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 58 2 40 2 148 2 40 2 (?)
a_n: 0 2 12 14 78 80 138 140 180 182 330 332 372 374
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: 374
Found by: raddoc
db: batch=76, k=14, 10 64 58 40 148 40

SPT(16)	1091614701299588027	0 14 80 90 92 150 200 206 210 216 266 324 326 336 402 416	-1552348235262
SPT(16)	1091614734140121241	0 136 186 246 252 310 316 330 382 396 402 460 466 526 576 712	-1519507702048
STPT(10)	1091614817009944439	0 2 42 44 60 62 78 80 120 122	-1436637878850
STPT(10)	1091615420501702177	0 2 54 56 72 74 90 92 144 146	-833146121112
SPT(16)	1091615458780160291	0 32 60 66 90 96 116 132 200 216 236 242 266 272 300 332	-794867662998
SPT(16)	1091615612214608693	0 60 86 114 120 176 224 240 254 270 318 374 380 408 434 494	-641433214596
SPT(16)	1091616453798577391	0 26 72 80 138 150 230 240 308 318 398 410 468 476 522 548	200150754102
STPT(10)	1091616607925785619	0 2 18 20 30 32 42 44 60 62	354277962330
SPT(16)	1091616608435451347	0 12 44 86 110 132 140 156 170 186 194 216 240 282 314 326	354787628058
SPT(16)	1091616881195062661	0 6 8 18 20 48 50 60 98 108 110 138 140 150 152 158	627547239372
SPT(16)	1091617396360010257	0 12 30 34 40 70 82 96 100 114 126 156 162 166 184 196	1142712186968