Prime p₀= 219591256788717629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 76 2 178 2 76 2 22 2 28 2 (?)
a_n: 0 2 132 134 210 212 390 392 468 470 492 494 522 524
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: 524
Found by: paulteo
db: batch=69, k=14, 130 76 178 76 22 28

SPT(14)	219591195124363243	0 30 48 60 154 174 184 210 220 240 334 346 364 394	-61664354386
SPT(14)	219591214394247121	0 18 28 60 70 132 142 156 166 228 238 270 280 298	-42394470508
STPT(10)	219591225601735847	0 2 30 32 72 74 114 116 144 146	-31186981782
TPT(12)	219591227432044967	0 2 30 32 72 74 90 92 102 104 114 116	-29356672662
TPT(12)	219591236080933181	0 2 36 38 168 170 210 212 306 308 318 320	-20707784448
SPT(14)	219591244722931561	0 12 72 82 90 100 106 132 138 148 156 166 226 238	-12065786068
TPT(12)	219591276866239169	0 2 150 152 210 212 258 260 288 290 300 302	20077521540
SPT(14)	219591281185278199	0 10 22 52 82 112 120 130 138 168 198 228 240 250	24396560570
SPT(14)	219591302266405871	0 36 42 72 98 146 152 246 252 300 326 356 362 398	45477688242
TPT(12)	219591313856212937	0 2 60 62 144 146 312 314 342 344 372 374	57067495308
TPT(12)	219591325452739349	0 2 18 20 90 92 132 134 198 200 228 230	68664021720