Prime p₀= 2658974772672419471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 148 2 34 2 52 2 136 2 10 2 (?)
a_n: 0 2 30 32 180 182 216 218 270 272 408 410 420 422
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: 422
Found by: biodoc
db: batch=82, k=14, 28 148 34 52 136 10

SPT(16)	2658973903013255111	0 12 26 30 86 98 128 182 186 240 270 282 338 342 356 368	-869659164360
STPT(10)	2658974010359298977	0 2 42 44 72 74 102 104 144 146	-762313120494
STPT(10)	2658974303934784349	0 2 48 50 90 92 132 134 180 182	-468737635122
SPT(16)	2658974356186742051	0 138 182 206 212 222 282 386 492 596 656 666 672 696 740 878	-416485677420
STPT(10)	2658974393061060629	0 2 42 44 60 62 78 80 120 122	-379611358842
STPT(10)	2658974413267935947	0 2 30 32 60 62 90 92 120 122	-359404483524
STPT(10)	2658974932163528261	0 2 6 8 48 50 90 92 96 98	159491108790
STPT(12)	2658975878653107191	0 2 6 8 36 38 90 92 120 122 126 128	1105980687720
SPT(16)	2658975897557713477	0 30 64 106 120 130 142 144 172 174 186 196 210 252 286 316	1124885294006
STPT(10)	2658975961526415227	0 2 54 56 72 74 90 92 144 146	1188853995756
STPT(10)	2658976158536207957	0 2 42 44 72 74 102 104 144 146	1385863788486