Prime p₀= 775108586077560797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 148 2 22 2 16 2 (?)
a_n: 0 2 12 14 30 32 60 62 210 212 234 236 252 254
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: [SG]FX
db: batch=73, k=14, 10 16 28 148 22 16

SPT(16)	775108081353025843	0 34 64 66 76 78 90 120 124 154 166 168 178 180 210 244	-504724534954
SPT(16)	775108250439217511	0 48 60 78 90 98 102 110 168 176 180 188 200 218 230 278	-335638343286
STPT(10)	775108328738850641	0 2 78 80 108 110 138 140 216 218	-257338710156
TPT(14)	775108467463863809	0 2 78 80 90 92 132 134 150 152 168 170 180 182	-118613696988
SPT(16)	775108508150914411	0 22 48 70 90 118 132 160 258 286 300 328 348 370 396 418	-77926646386
TPT(14)	775108553383359197	0 2 72 74 270 272 354 356 384 386 420 422 450 452	-32694201600
SPT(16)	775108963672128439	0 18 70 78 90 120 148 160 198 210 238 268 280 288 340 358	377594567642
STPT(12)	775109139711587909	0 2 42 44 60 62 72 74 90 92 132 134	553634027112
STPT(10)	775109156569946249	0 2 42 44 60 62 78 80 120 122	570492385452
TPT(14)	775109264402190167	0 2 84 86 90 92 114 116 162 164 270 272 294 296	678324629370
SPT(16)	775109274551010041	0 18 56 102 108 128 132 140 198 206 210 230 236 282 320 338	688473449244