Prime p₀= 1276579777951160729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: HenkM
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1276578601870801507	0 40 70 84 94 130 154 160 180 186 210 246 256 270 300 340	-1176080359222
STPT(10)	1276578745631702657	0 2 42 44 72 74 102 104 144 146	-1032319458072
STPT(10)	1276578818781944441	0 2 30 32 78 80 126 128 156 158	-959169216288
SPT(16)	1276578966658222729	0 10 12 34 54 64 82 130 294 342 360 370 390 412 414 424	-811292938000
SPT(16)	1276579469947444001	0 56 66 78 86 96 98 120 128 150 152 162 170 182 192 248	-308003716728
STPT(10)	1276579753066714637	0 2 30 32 72 74 114 116 144 146	-24884446092
SPT(16)	1276580150999268761	0 2 38 42 48 78 86 116 132 162 170 200 206 210 246 248	373048108032
STPT(10)	1276580208685685987	0 2 30 32 72 74 114 116 144 146	430734525258
STPT(10)	1276580442549053009	0 2 18 20 30 32 42 44 60 62	664597892280
STPT(10)	1276580450784640679	0 2 18 20 30 32 42 44 60 62	672833479950
SPT(16)	1276580736155804407	0 4 6 30 60 102 142 226 240 324 364 406 436 460 462 466	958204643678