Prime p₀= 813732627281205347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 10 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 84 86 102 104 132 134 174 176
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: 176
Found by: Jeff17
db: batch=73, k=14, 40 28 10 16 28 40

SPT(16)	813730912492362583	0 34 88 94 96 118 138 180 244 286 306 328 330 336 390 424	-1714788842764
STPT(10)	813731114012846987	0 2 42 44 72 74 102 104 144 146	-1513268358360
SPT(16)	813731268306802367	0 14 30 36 42 44 56 86 90 120 132 134 140 146 162 176	-1358974402980
STPT(10)	813731966654047409	0 2 48 50 90 92 132 134 180 182	-660627157938
STPT(10)	813732152703704789	0 2 42 44 60 62 78 80 120 122	-474577500558
STPT(10)	813732382239300257	0 2 24 26 42 44 60 62 84 86	-245041905090
STPT(10)	813733030302901529	0 2 42 44 60 62 78 80 120 122	403021696182
STPT(10)	813733108906547237	0 2 42 44 72 74 102 104 144 146	481625341890
SPT(13)	813733311607693303	0 24 78 84 120 138 144 150 168 204 210 264 288	684326487956
STPT(10)	813733388813697179	0 2 42 44 60 62 78 80 120 122	761532491832
STPT(10)	813733591749615959	0 2 30 32 120 122 210 212 240 242	964468410612