Prime p₀= 2981374780928958641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 178 2 16 2 112 2 34 2 28 2 (?)
a_n: 0 2 78 80 258 260 276 278 390 392 426 428 456 458
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: 458
Found by: Asgard2022
db: batch=82, k=14, 76 178 16 112 34 28

SPT(16)	2981373020072100539	0 44 90 114 188 198 212 314 348 450 464 474 548 572 618 662	-1760856858102
TPT(16)	2981373372176131937	0 2 180 182 252 254 270 272 300 302 342 344 354 356 492 494	-1408752826704
SPT(16)	2981373545246443807	0 40 76 102 120 132 136 162 220 246 250 262 280 306 342 382	-1235682514834
SPT(16)	2981373847269027349	0 18 72 124 138 240 252 258 304 310 322 424 438 490 544 562	-933659931292
STPT(10)	2981374311429963311	0 2 30 32 78 80 126 128 156 158	-469498995330
SPT(16)	2981374751900637401	0 8 26 50 92 110 200 206 282 288 378 396 438 462 480 488	-29028321240
SPT(16)	2981374852194748579	0 10 30 40 64 100 124 150 154 180 204 240 264 274 294 304	71265789938
TPT(14)	2981374855575564977	0 2 42 44 102 104 144 146 180 182 222 224 240 242	74646606336
SPT(16)	2981375043882648433	0 16 60 66 70 198 216 226 228 238 256 384 388 394 438 454	262953689792
STPT(10)	2981375736103765079	0 2 48 50 60 62 72 74 120 122	955174806438
TPT(14)	2981376021378241607	0 2 150 152 162 164 240 242 264 266 282 284 330 332	1240449282966