Prime p₀= 767928077542133549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 10 2 64 2 10 2 (?)
a_n: 0 2 18 20 30 32 60 62 72 74 138 140 150 152
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: 152
Found by: [SG]steini
db: batch=73, k=14, 16 10 28 10 64 10

SPT(16)	767926964429412847	0 34 76 82 156 196 244 274 342 372 420 460 534 540 582 616	-1113112720702
STPT(10)	767927116560590417	0 2 12 14 72 74 132 134 144 146	-960981543132
SPT(18)	767927814251116447	0 10 12 22 60 64 66 76 112 144 180 190 192 196 234 244 246 256	-263291017102
SPT(16)	767927887228681427	0 2 62 72 80 86 114 120 176 182 210 216 224 234 294 296	-190313452122
STPT(10)	767927950214219141	0 2 6 8 48 50 90 92 96 98	-127327914408
STPT(12)	767928067628070317	0 2 12 14 24 26 210 212 222 224 234 236	-9914063232
SPT(16)	767928078607430141	0 42 60 66 98 102 122 146 252 276 296 300 332 338 356 398	1065296592
STPT(10)	767928130611671171	0 2 6 8 18 20 30 32 36 38	53069537622
SPT(16)	767928225386229581	0 36 38 86 108 116 182 216 242 276 342 350 372 420 422 458	147844096032
SPT(16)	767928309916689479	0 12 38 42 68 104 138 158 174 194 228 264 290 294 320 332	232374555930
SPT(18)	767928382096282909	0 22 24 34 84 108 130 132 154 168 190 192 214 238 288 298 300 322	304554149360