Prime p₀= 2056738184176445921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 34 2 28 2 82 2 28 2 (?)
a_n: 0 2 48 50 90 92 126 128 156 158 240 242 270 272
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: 272
Found by: arkiss
db: batch=80, k=14, 46 40 34 28 82 28

SPT(16)	2056736890995295591	0 40 46 76 102 106 130 148 150 168 192 196 222 252 258 298	-1293181150330
SPT(16)	2056736946093825791	0 38 92 102 138 158 180 182 186 188 210 230 266 276 330 368	-1238082620130
SPT(16)	2056737365123993803	0 10 40 58 84 94 108 118 150 160 174 184 210 228 258 268	-819052452118
STPT(10)	2056737994963869311	0 2 6 8 48 50 90 92 96 98	-189212576610
SPT(16)	2056738003051316311	0 6 12 18 42 46 70 88 90 108 132 136 160 166 172 178	-181125129610
STPT(10)	2056738180764724241	0 2 36 38 78 80 120 122 156 158	-3411721680
TPT(14)	2056738419629585357	0 2 42 44 72 74 180 182 264 266 444 446 534 536	235453139436
SPT(16)	2056738532931133283	0 24 108 144 234 270 294 308 336 350 374 410 500 536 620 644	348754687362
STPT(10)	2056738553560215167	0 2 24 26 42 44 60 62 84 86	369383769246
STPT(10)	2056738579553681237	0 2 30 32 42 44 54 56 84 86	395377235316
SPT(16)	2056739051222021527	0 6 22 40 82 100 102 124 162 184 186 204 246 264 280 286	867045575606