Prime p₀= 2585382522721221701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 124 2 28 2 10 2 58 2 118 2 (?)
a_n: 0 2 60 62 186 188 216 218 228 230 288 290 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 124 28 10 58 118

SPT(16)	2585381274900052037	0 2 14 24 36 80 126 140 156 170 216 260 272 282 294 296	-1247821169664
SPT(16)	2585381600748874687	0 36 64 84 96 130 174 204 256 286 330 364 376 396 424 460	-921972347014
SPT(16)	2585381917484131141	0 36 46 90 132 136 178 210 238 270 312 316 358 402 412 448	-605237090560
SPT(16)	2585381995400627341	0 22 66 70 72 100 106 112 156 162 168 196 198 202 246 268	-527320594360
SPT(16)	2585382000405546521	0 32 36 60 126 188 218 222 266 270 300 362 428 452 456 488	-522315675180
SPT(13)	2585382038112953239	0 24 90 102 144 174 222 270 300 342 354 420 444	-484608268462
STPT(10)	2585383232914914371	0 2 36 38 78 80 120 122 156 158	710193692670
STPT(10)	2585383245689418989	0 2 12 14 90 92 168 170 180 182	722968197288
SPT(16)	2585383280165801029	0 4 22 28 48 54 78 84 88 94 118 124 144 150 168 172	757444579328
SPT(16)	2585383619069172799	0 10 22 52 54 64 150 180 232 262 348 358 360 390 402 412	1096347951098
STPT(10)	2585383656699240077	0 2 72 74 102 104 132 134 204 206	1133978018376