Prime p₀= 2062931269253886209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 82 2 58 2 106 2 130 2 (?)
a_n: 0 2 12 14 78 80 162 164 222 224 330 332 462 464
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: 464
Found by: Cruncher Pete
db: batch=80, k=14, 10 64 82 58 106 130

SPT(16)	2062930134877451527	0 22 34 52 94 102 114 132 172 190 202 210 252 270 282 304	-1134376434682
SPT(16)	2062930172542290581	0 38 66 80 110 182 186 192 236 242 246 318 348 362 390 428	-1096711595628
SPT(16)	2062930383658914551	0 12 18 38 42 56 80 90 278 288 312 326 330 350 356 368	-885594971658
STPT(10)	2062930605084360281	0 2 6 8 48 50 90 92 96 98	-664169525928
STPT(10)	2062930634962506107	0 2 30 32 120 122 210 212 240 242	-634291380102
SPT(16)	2062930982284609543	0 10 18 40 78 88 108 126 190 208 228 238 276 298 306 316	-286969276666
STPT(10)	2062931530944600101	0 2 30 32 78 80 126 128 156 158	261690713892
TPT(14)	2062931862733679141	0 2 78 80 96 98 246 248 306 308 318 320 336 338	593479792932
SPT(16)	2062932064833064511	0 20 30 38 56 66 78 116 132 170 182 192 210 218 228 248	795579178302
SPT(16)	2062932065632577521	0 18 42 70 82 100 166 196 312 342 408 426 438 466 490 508	796378691312
SPT(16)	2062932271122438907	0 10 24 42 66 102 114 120 136 142 154 190 214 232 246 256	1001868552698