Prime p₀= 1089832231330858061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 58 2 52 2 16 2 40 2 (?)
a_n: 0 2 60 62 96 98 156 158 210 212 228 230 270 272
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: 272
Found by: ginga
db: batch=76, k=14, 58 34 58 52 16 40

TPT(14)	1089831377677592549	0 2 18 20 42 44 102 104 192 194 228 230 270 272	-853653265512
SPT(18)	1089831377822938021	0 6 76 78 118 120 162 172 196 252 276 286 328 330 370 372 442 448	-853507920040
SPT(16)	1089831618462634867	0 22 24 94 106 114 144 172 294 322 352 360 372 442 444 466	-612868223194
SPT(16)	1089831637101800323	0 16 24 76 90 96 196 220 240 264 364 370 384 436 444 460	-594229057738
STPT(12)	1089831760964815787	0 2 42 44 90 92 114 116 162 164 204 206	-470366042274
SPT(16)	1089831770110956251	0 2 18 30 56 68 140 150 158 168 240 252 278 290 306 308	-461219901810
STPT(10)	1089832236124863107	0 2 30 32 60 62 90 92 120 122	4794005046
STPT(10)	1089832836599942087	0 2 42 44 72 74 102 104 144 146	605269084026
SPT(16)	1089832995519909779	0 48 98 144 152 164 182 222 230 270 288 300 308 354 404 452	764189051718
STPT(10)	1089833077985868917	0 2 30 32 42 44 54 56 84 86	846655010856
SPT(16)	1089833202047001301	0 36 60 82 102 106 130 180 262 312 336 340 360 382 406 442	970716143240