Prime p₀= 2577793655883330881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 10 2 46 2 40 2 (?)
a_n: 0 2 6 8 36 38 66 68 78 80 126 128 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 4 28 28 10 46 40

SPT(16)	2577790028033949647	0 50 74 90 116 144 150 164 312 326 332 360 386 402 426 476	-3627849381234
SPT(16)	2577790168887532727	0 14 36 66 74 102 104 116 150 162 164 192 200 230 252 266	-3486995798154
STPT(10)	2577790745035205801	0 2 6 8 48 50 90 92 96 98	-2910848125080
STPT(10)	2577790821102482717	0 2 30 32 42 44 54 56 84 86	-2834780848164
SPT(16)	2577792120435897481	0 22 46 48 90 102 106 130 228 252 256 268 310 312 336 358	-1535447433400
STPT(10)	2577793375639868987	0 2 42 44 72 74 102 104 144 146	-280243461894
SPT(16)	2577794243495817551	0 18 30 38 62 72 98 108 140 150 176 186 210 218 230 248	587612486670
STPT(10)	2577794286847986329	0 2 12 14 30 32 48 50 60 62	630964655448
SPT(16)	2577794351246511613	0 40 46 94 144 156 160 196 198 234 238 250 300 348 354 394	695363180732
SPT(16)	2577794566651637083	0 48 66 90 108 136 156 160 186 190 210 238 256 280 298 346	910768306202
STPT(10)	2577794683802448161	0 2 6 8 18 20 30 32 36 38	1027919117280