Prime p₀= 2119728627209377277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 10 2 40 2 148 2 16 2 (?)
a_n: 0 2 60 62 120 122 132 134 174 176 324 326 342 344
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: Donn Pike (USAF Ret)
db: batch=80, k=14, 58 58 10 40 148 16

SPT(16)	2119728057685069477	0 16 34 52 64 84 126 136 210 220 262 282 294 312 330 346	-569524307800
STPT(10)	2119728190858657427	0 2 42 44 72 74 102 104 144 146	-436350719850
SPT(16)	2119728208707719503	0 6 10 36 40 76 84 90 124 130 138 174 178 204 208 214	-418501657774
SPT(16)	2119728439967597933	0 14 48 60 74 84 104 140 144 180 200 210 224 236 270 284	-187241779344
SPT(16)	2119728484857474509	0 12 18 32 44 54 102 104 168 170 218 228 240 254 260 272	-142351902768
STPT(10)	2119728549051558587	0 2 30 32 102 104 174 176 204 206	-78157818690
SPT(16)	2119729101683226757	0 34 40 54 96 100 154 196 204 246 300 304 346 360 366 400	474473849480
SPT(16)	2119729206860269261	0 6 36 102 112 126 130 136 186 192 196 210 220 286 316 322	579650891984
SPT(16)	2119729340782500919	0 24 28 54 64 120 138 160 168 190 208 264 274 300 304 328	713573123642
STPT(10)	2119729414864882547	0 2 24 26 42 44 60 62 84 86	787655505270
SPT(16)	2119729505485183861	0 22 42 66 136 166 178 180 208 210 222 252 322 346 366 388	878275806584