Prime p₀= 1972812329016322427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 124 2 58 2 52 2 16 2 (?)
a_n: 0 2 60 62 84 86 210 212 270 272 324 326 342 344
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: samuraiii
db: batch=80, k=14, 58 22 124 58 52 16

SPT(16)	1972810682221409489	0 8 18 50 62 104 114 132 170 188 198 240 252 284 294 302	-1646794912938
STPT(10)	1972810904243999681	0 2 36 38 78 80 120 122 156 158	-1424772322746
SPT(16)	1972811031524816869	0 22 40 42 64 130 138 168 184 214 222 288 310 312 330 352	-1297491505558
STPT(10)	1972811282669067809	0 2 12 14 90 92 168 170 180 182	-1046347254618
SPT(16)	1972812125752947467	0 32 50 84 102 120 140 162 182 204 224 242 260 294 312 344	-203263374960
STPT(10)	1972812287789557211	0 2 6 8 48 50 90 92 96 98	-41226765216
STPT(10)	1972812604457219267	0 2 30 32 42 44 54 56 84 86	275440896840
SPT(16)	1972812878277505751	0 18 68 120 132 138 152 198 200 246 260 266 278 330 380 398	549261183324
TPT(14)	1972812945743539349	0 2 30 32 60 62 168 170 228 230 240 242 288 290	616727216922
STPT(10)	1972813104891041261	0 2 36 38 78 80 120 122 156 158	775874718834
SPT(16)	1972813247286705451	0 6 28 118 136 148 160 162 166 168 180 192 210 300 322 328	918270383024