Prime p₀= 745771777290403067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 10 2 16 2 40 2 58 2 (?)
a_n: 0 2 12 14 150 152 162 164 180 182 222 224 282 284
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: 284
Found by: Theadalus
db: batch=73, k=14, 10 136 10 16 40 58

TPT(14)	745771067951865827	0 2 54 56 60 62 132 134 174 176 180 182 264 266	-709338537240
SPT(16)	745771115631940939	0 4 22 78 84 90 118 154 168 204 232 238 244 300 318 322	-661658462128
SPT(16)	745771124056823593	0 4 16 18 24 40 46 60 94 108 114 130 136 138 150 154	-653233579474
SPT(16)	745771261753607737	0 64 76 82 96 102 124 126 250 252 274 280 294 300 312 376	-515536795330
SPT(18)	745771377917600731	0 16 30 42 60 88 130 138 162 166 190 198 240 268 286 298 312 328	-399372802336
SPT(16)	745771757192485589	0 90 108 144 200 212 230 242 450 462 480 492 548 584 602 692	-20097917478
SPT(16)	745772152206455887	0 10 24 34 42 64 66 84 112 130 132 154 162 172 186 196	374916052820
TPT(14)	745772259610484831	0 2 6 8 30 32 60 62 96 98 126 128 228 230	482320081764
STPT(10)	745772488103335877	0 2 30 32 60 62 90 92 120 122	710812932810
STPT(10)	745772795869984319	0 2 48 50 90 92 132 134 180 182	1018579581252
SPT(16)	745773172691709847	0 34 46 66 144 150 156 172 324 340 346 352 430 450 462 496	1395401306780