Prime p₀= 865704031289686781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 292 2 28 2 4 2 88 2 (?)
a_n: 0 2 78 80 96 98 390 392 420 422 426 428 516 518
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: 518
Found by: RFGuy_KCCO
db: batch=73, k=14, 76 16 292 28 4 88

TPT(14)	865702582351965431	0 2 78 80 150 152 168 170 210 212 300 302 306 308	-1448937721350
SPT(16)	865702984936688693	0 6 36 54 98 110 114 146 168 200 204 216 260 278 308 314	-1046352998088
SPT(16)	865703077556016901	0 22 40 76 82 90 102 106 192 196 208 216 222 258 276 298	-953733669880
STPT(10)	865703332587013967	0 2 54 56 72 74 90 92 144 146	-698702672814
STPT(10)	865703364760698647	0 2 30 32 42 44 54 56 84 86	-666528988134
STPT(10)	865703691795497879	0 2 18 20 30 32 42 44 60 62	-339494188902
SPT(16)	865704103442634173	0 26 48 98 110 128 134 156 158 180 186 204 216 266 288 314	72152947392
SPT(16)	865704626732470661	0 26 66 78 80 108 146 168 188 210 248 276 278 290 330 356	595442783880
SPT(16)	865704709019927383	0 18 24 46 94 96 126 136 168 178 208 210 258 280 286 304	677730240602
STPT(10)	865704767140781681	0 2 36 38 78 80 120 122 156 158	735851094900
SPT(16)	865704834246803069	0 8 12 30 32 44 50 98 114 162 168 180 182 200 204 212	802957116288