Prime p₀= 2769657867456652727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 4 2 28 2 22 2 28 2 (?)
a_n: 0 2 60 62 84 86 90 92 120 122 144 146 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 22 4 28 22 28

SPT(16)	2769656670174505459	0 10 22 82 148 160 178 204 208 234 252 264 330 390 402 412	-1197282147268
TPT(14)	2769656735831520191	0 2 60 62 66 68 96 98 138 140 360 362 378 380	-1131625132536
STPT(10)	2769656795101594427	0 2 12 14 42 44 72 74 84 86	-1072355058300
SPT(16)	2769657380918449877	0 6 14 30 32 50 60 62 114 116 126 144 146 162 170 176	-486538202850
STPT(10)	2769657739796865821	0 2 36 38 78 80 120 122 156 158	-127659786906
SPT(16)	2769657858672413981	0 20 42 48 96 122 140 156 182 198 216 242 290 296 318 338	-8784238746
TPT(14)	2769658233355746617	0 2 84 86 132 134 150 152 210 212 294 296 360 362	365899093890
STPT(10)	2769658397703342701	0 2 6 8 48 50 90 92 96 98	530246689974
SPT(16)	2769658661217273149	0 32 48 60 74 80 90 162 230 302 312 318 332 344 360 392	793760620422
STPT(10)	2769658857315335759	0 2 48 50 90 92 132 134 180 182	989858683032
STPT(10)	2769659121600510791	0 2 36 38 78 80 120 122 156 158	1254143858064