Prime p₀= 4364292007847850017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 10 2 40 2 28 2 64 2 (?)
a_n: 0 2 60 62 90 92 102 104 144 146 174 176 240 242
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: 242
Found by: Arkhenia
db: batch=85, k=14, 58 28 10 40 28 64

SPT(16)	4364290431928520993	0 18 86 98 104 158 168 230 324 386 396 450 456 468 536 554	-1575919329024
SPT(16)	4364290846159395551	0 36 50 86 98 110 168 218 288 338 396 408 420 456 470 506	-1161688454466
SPT(16)	4364290864372134139	0 72 138 208 268 280 288 300 352 364 372 384 444 514 580 652	-1143475715878
TPT(14)	4364291049183966911	0 2 138 140 246 248 288 290 306 308 330 332 360 362	-958663883106
SPT(16)	4364291572685085641	0 6 62 66 80 90 108 116 132 140 158 168 182 186 242 248	-435162764376
SPT(16)	4364291702245489363	0 30 70 84 90 94 108 118 126 136 150 154 160 174 214 244	-305602360654
STPT(12)	4364292156404299157	0 2 42 44 84 86 150 152 192 194 234 236	148556449140
SPT(16)	4364292300671221067	0 2 44 62 80 90 114 134 240 260 284 294 312 330 372 374	292823371050
TPT(14)	4364292867124981079	0 2 48 50 90 92 198 200 258 260 282 284 330 332	859277131062
SPT(16)	4364293365590816939	0 80 110 114 128 138 182 254 288 360 404 414 428 432 462 542	1357742966922
SPT(16)	4364293598735169497	0 24 32 74 102 140 210 230 294 314 384 422 450 492 500 524	1590887319480