Prime p₀= 1139544741983353367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 10 2 196 2 70 2 (?)
a_n: 0 2 30 32 72 74 102 104 114 116 312 314 384 386
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: 386
Found by: arkiss
db: batch=76, k=14, 28 40 28 10 196 70

SPT(16)	1139544170086430747	0 6 30 44 56 74 90 116 240 266 282 300 312 326 350 356	-571896922620
SPT(16)	1139544204840903767	0 2 20 42 72 122 132 140 156 164 174 224 254 276 294 296	-537142449600
STPT(10)	1139544266854150979	0 2 48 50 90 92 132 134 180 182	-475129202388
SPT(16)	1139544284192996741	0 56 120 170 176 210 218 246 302 330 338 372 378 428 492 548	-457790356626
STPT(10)	1139544464962174937	0 2 30 32 42 44 54 56 84 86	-277021178430
TPT(14)	1139544505367885717	0 2 42 44 90 92 114 116 144 146 204 206 240 242	-236615467650
SPT(16)	1139544765300291557	0 6 12 32 44 74 86 146 210 270 282 312 324 344 350 356	23316938190
STPT(10)	1139544768606396671	0 2 30 32 78 80 126 128 156 158	26623043304
SPT(16)	1139544918881858131	0 30 40 42 52 60 70 102 136 168 178 186 196 198 208 238	176898504764
STPT(10)	1139544965875395197	0 2 30 32 42 44 54 56 84 86	223892041830
STPT(10)	1139545196292341687	0 2 30 32 60 62 90 92 120 122	454308988320