Prime p₀= 1286302255063046159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 118 2 4 2 28 2 130 2 46 2 (?)
a_n: 0 2 42 44 162 164 168 170 198 200 330 332 378 380
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: 380
Found by: xii5ku
db: batch=77, k=14, 40 118 4 28 130 46

SPT(16)	1286301317954437633	0 30 34 36 78 106 118 148 156 186 198 226 268 270 274 304	-937108608526
STPT(12)	1286301466145171339	0 2 12 14 42 44 48 50 78 80 90 92	-788917874820
SPT(16)	1286301645420053761	0 48 90 136 168 178 220 232 246 258 300 310 342 388 430 478	-609642992398
STPT(10)	1286301750572535449	0 2 18 20 30 32 42 44 60 62	-504490510710
SPT(16)	1286301815331793451	0 20 38 48 80 92 98 162 188 252 258 270 302 312 330 350	-439731252708
STPT(10)	1286302043698138739	0 2 18 20 30 32 42 44 60 62	-211364907420
TPT(14)	1286302581768492371	0 2 30 32 96 98 150 152 180 182 186 188 228 230	326705446212
SPT(16)	1286302666070446891	0 12 58 70 72 96 102 132 136 166 172 196 198 210 256 268	411007400732
SPT(16)	1286303066120904367	0 34 40 100 112 144 162 204 292 334 352 384 396 456 462 496	811057858208
SPT(16)	1286303613811982153	0 90 108 156 168 224 258 296 318 356 390 446 458 506 524 614	1358748935994
SPT(16)	1286303747712888031	0 18 30 108 138 156 166 220 228 282 292 310 340 418 430 448	1492649841872