Prime p₀= 2903130501531792347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 10 2 10 2 16 2 (?)
a_n: 0 2 12 14 54 56 90 92 102 104 114 116 132 134
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: 134
Found by: Ben
db: batch=82, k=14, 10 40 34 10 10 16

TPT(14)	2903128502114765567	0 2 102 104 144 146 192 194 210 212 234 236 324 326	-1999417026780
SPT(16)	2903128559282165723	0 48 78 98 146 158 168 176 300 308 318 330 378 398 428 476	-1942249626624
SPT(16)	2903128743358226969	0 104 120 122 144 150 200 218 234 252 302 308 330 332 348 452	-1758173565378
SPT(16)	2903128946116715053	0 30 36 66 78 100 108 156 190 238 246 268 280 310 316 346	-1555415077294
STPT(12)	2903129393656027631	0 2 30 32 60 62 138 140 168 170 198 200	-1107875764716
STPT(10)	2903130318792220499	0 2 48 50 90 92 132 134 180 182	-182739571848
SPT(16)	2903130839647905703	0 58 70 90 118 210 238 256 270 288 316 408 436 456 468 526	338116113356
SPT(16)	2903130927605836547	0 2 6 14 36 92 170 180 296 306 384 440 462 470 474 476	426074044200
SPT(16)	2903131083308562203	0 14 38 48 80 126 144 158 216 230 248 294 326 336 360 374	581776769856
SPT(16)	2903131172935251109	0 4 40 42 52 54 70 90 172 192 208 210 220 222 258 262	671403458762
STPT(10)	2903131697286185921	0 2 6 8 48 50 90 92 96 98	1195754393574