Prime p₀= 2599859734471234451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 70 2 10 2 34 2 22 2 (?)
a_n: 0 2 60 62 66 68 138 140 150 152 186 188 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 4 70 10 34 22

STPT(10)	2599857752552104391	0 2 6 8 48 50 90 92 96 98	-1981919130060
SPT(16)	2599857775188584507	0 2 42 50 60 104 132 146 270 284 312 356 366 374 414 416	-1959282649944
STPT(10)	2599857919009728887	0 2 42 44 72 74 102 104 144 146	-1815461505564
SPT(16)	2599858769807987761	0 28 72 76 112 178 220 238 240 258 300 366 402 406 450 478	-964663246690
STPT(10)	2599859065160261909	0 2 12 14 90 92 168 170 180 182	-669310972542
SPT(16)	2599859328564036577	0 12 30 84 132 136 150 154 372 376 390 394 442 496 514 526	-405907197874
STPT(10)	2599860297279112079	0 2 42 44 60 62 78 80 120 122	562807877628
STPT(10)	2599860322267409879	0 2 18 20 30 32 42 44 60 62	587796175428
SPT(16)	2599860397738131289	0 4 40 42 54 82 84 94 168 178 180 208 220 222 258 262	663266896838
SPT(16)	2599860686975190637	0 4 36 40 42 60 70 96 160 186 196 214 216 220 252 256	952503956186
TPT(14)	2599860739460689907	0 2 24 26 102 104 114 116 180 182 210 212 234 236	1004989455456