Prime p₀= 2282576763397408967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 64 2 82 2 28 2 58 2 (?)
a_n: 0 2 60 62 84 86 150 152 234 236 264 266 324 326
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: 326
Found by: JayPi
db: batch=81, k=14, 58 22 64 82 28 58

SPT(16)	2282575488588393821	0 26 32 110 132 140 146 162 320 336 342 350 372 450 456 482	-1274809015146
STPT(10)	2282575676428314479	0 2 42 44 60 62 78 80 120 122	-1086969094488
STPT(10)	2282575849197804857	0 2 54 56 72 74 90 92 144 146	-914199604110
SPT(20)	2282575968613213807	0 22 52 72 100 120 132 154 160 174 262 276 282 304 316 336 364 384 414 436	-794784195160
STPT(10)	2282576375742300731	0 2 36 38 78 80 120 122 156 158	-387655108236
SPT(16)	2282576763240923867	0 2 14 86 90 132 152 216 260 324 344 386 390 462 474 476	-156485100
SPT(16)	2282576867966707009	0 18 22 48 70 102 112 130 150 168 178 210 232 258 262 280	104569298042
TPT(14)	2282576886338706491	0 2 6 8 18 20 48 50 186 188 228 230 240 242	122941297524
SPT(16)	2282577054086291497	0 16 40 82 120 142 150 156 160 166 174 196 234 276 300 316	290688882530
SPT(16)	2282577176016653027	0 24 36 42 50 54 150 162 284 296 392 396 404 410 422 446	412619244060
TPT(14)	2282577383043023777	0 2 42 44 144 146 300 302 324 326 474 476 492 494	619645614810