Prime p₀= 775577563174490831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 28 2 22 2 46 2 40 2 (?)
a_n: 0 2 18 20 96 98 126 128 150 152 198 200 240 242
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: 242
Found by: schoussi
db: batch=73, k=14, 16 76 28 22 46 40

SPT(16)	775576059063619897	0 6 30 40 54 66 76 84 166 174 184 196 210 220 244 250	-1504110870934
SPT(16)	775576228926835429	0 48 52 64 108 112 114 132 220 238 240 244 288 300 304 352	-1334247655402
STPT(10)	775576691864230811	0 2 36 38 78 80 120 122 156 158	-871310260020
SPT(16)	775577001953147377	0 40 42 54 70 84 96 112 174 190 202 216 232 244 246 286	-561221343454
STPT(10)	775577205277792607	0 2 30 32 42 44 54 56 84 86	-357896698224
SPT(16)	775577401660705081	0 12 18 28 40 102 120 126 142 148 166 228 240 250 256 268	-161513785750
SPT(16)	775577739421433551	0 30 36 78 82 102 142 168 250 276 316 336 340 382 388 418	176246942720
SPT(16)	775577861126163037	0 40 46 60 64 90 132 180 196 244 286 312 316 330 336 376	297951672206
SPT(16)	775577960105610407	0 6 14 36 56 74 114 120 140 146 186 204 224 246 254 260	396931119576
STPT(10)	775578319198665287	0 2 30 32 42 44 54 56 84 86	756024174456
SPT(16)	775578585328722313	0 54 64 78 88 106 108 120 154 166 168 186 196 210 220 274	1022154231482