Prime p₀= 943485013994666159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 58 2 10 2 16 2 40 2 (?)
a_n: 0 2 78 80 168 170 228 230 240 242 258 260 300 302
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: 302
Found by: stoneageman
db: batch=76, k=14, 76 88 58 10 16 40

SPT(16)	943484527930788647	0 60 122 140 150 182 222 234 242 254 294 326 336 354 416 476	-486063877512
STPT(10)	943484615056463531	0 2 6 8 18 20 30 32 36 38	-398938202628
TPT(14)	943484635721138681	0 2 18 20 30 32 78 80 120 122 156 158 258 260	-378273527478
SPT(16)	943484693513785433	0 20 30 36 38 44 50 54 80 84 90 96 98 104 114 134	-320480880726
STPT(10)	943484741142435377	0 2 30 32 72 74 114 116 144 146	-272852230782
SPT(16)	943484944527939211	0 6 28 100 112 132 208 220 258 270 346 366 378 450 472 478	-69466726948
STPT(10)	943485106813385597	0 2 24 26 42 44 60 62 84 86	92818719438
SPT(16)	943485466015655461	0 12 30 72 82 96 100 142 150 192 196 210 220 262 280 292	452020989302
SPT(16)	943485625314074057	0 26 62 74 116 120 122 140 186 204 206 210 252 264 300 326	611319407898
STPT(10)	943486049700919727	0 2 30 32 60 62 90 92 120 122	1035706253568
SPT(16)	943486122834307081	0 12 22 28 58 102 130 156 262 288 316 360 390 396 406 418	1108839640922