Prime p₀= 3017731558459628999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 40 2 4 2 22 2 58 2 64 2 (?)
a_n: 0 2 240 242 282 284 288 290 312 314 372 374 438 440
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: 440
Found by: Asgard2022
db: batch=82, k=14, 238 40 4 22 58 64

STPT(10)	3017731081477649987	0 2 90 92 102 104 114 116 204 206	-476981979012
STPT(10)	3017731181738866517	0 2 12 14 42 44 72 74 84 86	-376720762482
SPT(16)	3017731382221610809	0 24 34 100 102 154 160 174 178 192 198 250 252 318 328 352	-176238018190
SPT(16)	3017731389400373743	0 10 34 66 96 136 160 166 294 300 324 364 394 426 450 460	-169059255256
SPT(16)	3017731426896404651	0 20 66 72 116 132 140 156 182 198 206 222 266 272 318 338	-131563224348
SPT(16)	3017731522872440641	0 40 42 66 70 82 108 112 126 130 156 168 172 196 198 238	-35587188358
STPT(10)	3017731783802326907	0 2 30 32 42 44 54 56 84 86	225342697908
STPT(10)	3017731790291788457	0 2 24 26 42 44 60 62 84 86	231832159458
SPT(16)	3017731906170724123	0 10 16 76 78 106 108 148 168 208 210 238 240 300 306 316	347711095124
STPT(10)	3017732386692130307	0 2 30 32 72 74 114 116 144 146	828232501308
SPT(16)	3017732442586774603	0 6 10 54 70 126 204 216 238 250 328 384 400 444 448 454	884127145604