Prime p₀= 2245820268940533839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 70 2 10 2 136 2 (?)
a_n: 0 2 78 80 108 110 138 140 210 212 222 224 360 362
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: 362
Found by: Ben
db: batch=81, k=14, 76 28 28 70 10 136

STPT(10)	2245818046285845077	0 2 54 56 72 74 90 92 144 146	-2222654688762
SPT(16)	2245818055768837477	0 6 70 102 144 180 214 222 244 252 286 322 364 396 460 466	-2213171696362
SPT(16)	2245818227351844157	0 6 12 36 46 84 124 126 130 132 172 210 220 244 250 256	-2041588689682
SPT(16)	2245818561521204489	0 30 42 72 74 78 98 110 252 264 284 288 290 320 332 362	-1707419329350
SPT(16)	2245818596659060391	0 8 36 50 62 68 72 92 126 146 150 156 168 182 210 218	-1672281473448
STPT(10)	2245819939756440077	0 2 30 32 60 62 90 92 120 122	-329184093762
STPT(10)	2245820564510250821	0 2 30 32 60 62 90 92 120 122	295569716982
STPT(10)	2245820768115757277	0 2 30 32 42 44 54 56 84 86	499175223438
SPT(16)	2245821675122040923	0 18 26 36 50 56 78 98 228 248 270 276 290 300 308 326	1406181507084
SPT(16)	2245821996923036867	0 30 44 60 84 90 104 140 156 192 206 212 236 252 266 296	1727982503028
SPT(16)	2245822224333816893	0 18 20 50 56 78 84 108 116 140 146 168 174 204 206 224	1955393283054