Prime p₀= 2839512826767135551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 88 2 76 2 10 2 16 2 (?)
a_n: 0 2 30 32 168 170 258 260 336 338 348 350 366 368
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: 368
Found by: [SG-FC] hl
db: batch=82, k=14, 28 136 88 76 10 16

SPT(16)	2839511993896842931	0 10 30 58 66 112 118 132 196 210 216 262 270 298 318 328	-832870292620
SPT(16)	2839512124073367517	0 4 34 54 60 150 186 222 244 280 316 406 412 432 462 466	-702693768034
SPT(16)	2839512310969887827	0 32 50 60 110 126 162 176 186 200 236 252 302 312 330 362	-515797247724
STPT(10)	2839512398338065431	0 2 36 38 78 80 120 122 156 158	-428429070120
SPT(16)	2839512472306863701	0 8 32 36 50 56 66 78 140 152 162 168 182 186 210 218	-354460271850
STPT(10)	2839512688835150309	0 2 42 44 60 62 78 80 120 122	-137931985242
SPT(16)	2839512877945002157	0 30 42 66 90 112 114 142 174 202 204 226 250 274 286 316	51177866606
STPT(10)	2839513000862984987	0 2 30 32 72 74 114 116 144 146	174095849436
STPT(10)	2839513061983888247	0 2 24 26 42 44 60 62 84 86	235216752696
SPT(16)	2839513119671678381	0 38 42 68 72 78 92 96 152 156 170 176 180 206 210 248	292904542830
STPT(10)	2839513285029064739	0 2 18 20 30 32 42 44 60 62	458261929188