Prime p₀= 2770726239666677189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 22 2 58 2 76 2 10 2 (?)
a_n: 0 2 18 20 78 80 102 104 162 164 240 242 252 254
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: JayPi
db: batch=82, k=14, 16 58 22 58 76 10

SPT(16)	2770725306543306943	0 10 18 28 48 70 76 106 150 180 186 208 228 238 246 256	-933123370246
SPT(16)	2770725379348015433	0 44 128 144 158 170 204 218 276 290 324 336 350 366 450 494	-860318661756
SPT(16)	2770725561417788389	0 4 30 34 42 60 88 108 154 174 202 220 228 232 258 262	-678248888800
STPT(10)	2770725589359630599	0 2 48 50 90 92 132 134 180 182	-650307046590
STPT(10)	2770725972557886767	0 2 30 32 72 74 114 116 144 146	-267108790422
SPT(16)	2770726176386282497	0 12 42 60 70 96 136 154 162 180 220 246 256 274 304 316	-63280394692
TPT(14)	2770726529470438811	0 2 18 20 96 98 156 158 198 200 270 272 318 320	289803761622
SPT(16)	2770726553592002839	0 28 30 54 72 88 114 162 190 238 264 280 298 322 324 352	313925325650
SPT(16)	2770726618520522633	0 54 86 90 114 140 156 174 230 248 264 290 314 318 350 404	378853845444
STPT(10)	2770726859225364887	0 2 12 14 42 44 72 74 84 86	619558687698
SPT(16)	2770727243052211853	0 44 54 56 144 270 306 320 594 608 644 770 858 860 870 914	1003385534664