Prime p₀= 2576877822373031657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 106 2 28 2 10 2 (?)
a_n: 0 2 60 62 72 74 102 104 210 212 240 242 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 10 28 106 28 10

SPT(16)	2576876281730704771	0 12 16 60 88 102 108 132 136 160 166 180 208 252 256 268	-1540642326886
SPT(16)	2576876424021993637	0 4 12 46 66 96 124 166 180 222 250 280 300 334 342 346	-1398351038020
SPT(16)	2576876590705573631	0 12 18 30 60 66 96 156 182 242 272 278 308 320 326 338	-1231667458026
STPT(10)	2576876638630522727	0 2 42 44 72 74 102 104 144 146	-1183742508930
SPT(16)	2576877089179058573	0 8 74 78 96 144 168 188 306 326 350 398 416 420 486 494	-733193973084
STPT(10)	2576877777378564719	0 2 12 14 90 92 168 170 180 182	-44994466938
STPT(12)	2576877822373031717	0 2 12 14 42 44 150 152 180 182 192 194	60
TPT(14)	2576877841142475569	0 2 12 14 72 74 180 182 210 212 228 230 240 242	18769443912
TPT(14)	2576877988076340539	0 2 42 44 90 92 180 182 222 224 318 320 348 350	165703308882
SPT(16)	2576878491500084419	0 40 42 82 90 118 190 204 208 222 294 322 330 370 372 412	669127052762
STPT(10)	2576878609500117887	0 2 30 32 42 44 54 56 84 86	787127086230