Prime p₀= 1091617976354992397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 178 2 76 2 46 2 52 2 58 2 (?)
a_n: 0 2 84 86 264 266 342 344 390 392 444 446 504 506
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: 506
Found by: fzs600
db: batch=76, k=14, 82 178 76 46 52 58

SPT(16)	1091616453798577391	0 26 72 80 138 150 230 240 308 318 398 410 468 476 522 548	-1522556415006
STPT(10)	1091616607925785619	0 2 18 20 30 32 42 44 60 62	-1368429206778
SPT(16)	1091616608435451347	0 12 44 86 110 132 140 156 170 186 194 216 240 282 314 326	-1367919541050
SPT(16)	1091616881195062661	0 6 8 18 20 48 50 60 98 108 110 138 140 150 152 158	-1095159929736
SPT(16)	1091617396360010257	0 12 30 34 40 70 82 96 100 114 126 156 162 166 184 196	-579994982140
STPT(10)	1091617801292563211	0 2 6 8 18 20 30 32 36 38	-175062429186
SPT(13)	1091618053594417903	0 60 78 120 126 168 198 228 270 276 318 336 396	77239425506
TPT(14)	1091618209716160769	0 2 12 14 30 32 60 62 192 194 198 200 282 284	233361168372
SPT(16)	1091618419629567611	0 26 38 60 90 96 108 116 132 140 152 158 188 210 222 248	443274575214
STPT(10)	1091618428614555869	0 2 18 20 30 32 42 44 60 62	452259563472
SPT(16)	1091618586454483643	0 6 8 48 56 90 140 164 180 204 254 288 296 336 338 344	610099491246