Prime p₀= 2627063113848204677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 124 2 70 2 16 2 (?)
a_n: 0 2 72 74 84 86 114 116 240 242 312 314 330 332
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: 332
Found by: biodoc
db: batch=82, k=14, 70 10 28 124 70 16

SPT(16)	2627061761639145461	0 30 36 50 66 68 78 122 156 200 210 212 228 242 248 278	-1352209059216
STPT(10)	2627061966748007639	0 2 42 44 90 92 138 140 180 182	-1147100197038
STPT(10)	2627062431862304627	0 2 90 92 102 104 114 116 204 206	-681985900050
SPT(16)	2627062792787568637	0 6 46 64 90 94 112 124 132 144 162 166 192 210 250 256	-321060636040
SPT(16)	2627062894641886751	0 8 30 92 98 120 122 140 180 198 200 222 228 290 312 320	-219206317926
STPT(10)	2627062964263928159	0 2 12 14 30 32 48 50 60 62	-149584276518
SPT(16)	2627063285995573253	0 6 38 50 90 104 134 156 188 210 240 254 294 306 338 344	172147368576
SPT(16)	2627063317611820247	0 12 24 30 102 156 186 216 290 320 350 404 476 482 494 506	203763615570
STPT(10)	2627063319459901031	0 2 78 80 108 110 138 140 216 218	205611696354
SPT(16)	2627063357279634001	0 40 46 106 126 156 196 198 238 240 280 310 330 390 396 436	243431429324
SPT(16)	2627063695922131693	0 6 40 58 66 108 118 126 190 198 208 250 258 276 310 316	582073927016