Prime p₀= 2132388546728495927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 10 2 34 2 28 2 130 2 (?)
a_n: 0 2 60 62 132 134 144 146 180 182 210 212 342 344
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: Odd-Rod
db: batch=80, k=14, 58 70 10 34 28 130

SPT(16)	2132386922878230439	0 4 28 70 78 120 124 148 210 234 238 280 288 330 354 358	-1623850265488
STPT(10)	2132387141817258761	0 2 30 32 138 140 246 248 276 278	-1404911237166
SPT(16)	2132387579353901081	0 38 66 80 116 122 128 170 408 450 456 462 498 512 540 578	-967374594846
STPT(10)	2132387903755177109	0 2 18 20 30 32 42 44 60 62	-642973318818
SPT(16)	2132388003397409567	0 6 12 32 62 66 116 150 182 216 266 270 300 320 326 332	-543331086360
SPT(16)	2132388492049414843	0 4 46 60 66 118 126 150 154 178 186 238 244 258 300 304	-54679081084
SPT(16)	2132388828972345583	0 54 78 90 100 124 138 148 210 220 234 258 268 280 304 358	282243849656
STPT(10)	2132388947896753727	0 2 24 26 42 44 60 62 84 86	401168257800
SPT(16)	2132389016892563197	0 16 30 40 42 96 130 150 172 192 226 280 282 292 306 322	470164067270
SPT(16)	2132389114729803287	0 14 30 50 56 92 116 144 182 210 234 270 276 296 312 326	568001307360
STPT(12)	2132389264732137839	0 2 30 32 42 44 138 140 150 152 180 182	718003641912