Prime p₀= 2015432044983398267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 10 2 28 2 28 2 76 2 58 2 (?)
a_n: 0 2 132 134 144 146 174 176 204 206 282 284 342 344
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: 344
Found by: Chooka
db: batch=80, k=14, 130 10 28 28 76 58

STPT(10)	2015430375496512389	0 2 18 20 30 32 42 44 60 62	-1669486885878
SPT(16)	2015431215241354957	0 4 40 72 90 100 102 124 132 154 156 166 184 216 252 256	-829742043310
SPT(16)	2015431469556555389	0 20 54 140 170 174 180 204 230 254 260 264 294 380 414 434	-575426842878
SPT(16)	2015431687938947459	0 60 84 102 150 168 192 198 224 230 254 272 320 338 362 422	-357044450808
STPT(10)	2015431692733556297	0 2 54 56 72 74 90 92 144 146	-352249841970
SPT(16)	2015431948384000189	0 28 30 40 42 54 72 120 172 220 238 250 252 262 264 292	-96599398078
STPT(10)	2015432320053603569	0 2 18 20 30 32 42 44 60 62	275070205302
SPT(16)	2015432329245720629	0 18 24 44 60 80 84 180 212 308 312 332 348 368 374 392	284262322362
SPT(16)	2015432495575546363	0 28 30 40 106 108 130 166 210 246 268 270 336 346 348 376	450592148096
STPT(10)	2015432530379580407	0 2 30 32 42 44 54 56 84 86	485396182140
SPT(16)	2015432587242497041	0 12 72 112 120 126 156 160 198 202 232 238 246 286 346 358	542259098774