Prime p₀= 745772259610484831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 34 2 28 2 100 2 (?)
a_n: 0 2 6 8 30 32 60 62 96 98 126 128 228 230
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: 230
Found by: Theadalus
db: batch=73, k=14, 4 22 28 34 28 100

SPT(16)	745771124056823593	0 4 16 18 24 40 46 60 94 108 114 130 136 138 150 154	-1135553661238
SPT(16)	745771261753607737	0 64 76 82 96 102 124 126 250 252 274 280 294 300 312 376	-997856877094
SPT(18)	745771377917600731	0 16 30 42 60 88 130 138 162 166 190 198 240 268 286 298 312 328	-881692884100
SPT(16)	745771757192485589	0 90 108 144 200 212 230 242 450 462 480 492 548 584 602 692	-502417999242
TPT(14)	745771777290403067	0 2 12 14 150 152 162 164 180 182 222 224 282 284	-482320081764
SPT(16)	745772152206455887	0 10 24 34 42 64 66 84 112 130 132 154 162 172 186 196	-107404028944
STPT(10)	745772488103335877	0 2 30 32 60 62 90 92 120 122	228492851046
STPT(10)	745772795869984319	0 2 48 50 90 92 132 134 180 182	536259499488
SPT(16)	745773172691709847	0 34 46 66 144 150 156 172 324 340 346 352 430 450 462 496	913081225016
SPT(20)	745773290439149221	0 16 78 90 126 138 148 196 198 300 316 418 420 468 478 490 526 538 600 616	1030828664390
STPT(10)	745773303537079859	0 2 18 20 30 32 42 44 60 62	1043926595028