Prime p₀= 2128447892489689289 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 78 6 30 6 60 24 24 60 6 30 6 78 (?)
a_n: 0 78 84 114 120 180 204 228 288 294 324 330 408
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 408
Found by: Landjunge
db: batch=80, k=13, 78 6 30 6 60 24

TPT(14)	2128446483291935369	0 2 78 80 90 92 180 182 210 212 252 254 330 332	-1409197753920
SPT(16)	2128446509978160767	0 6 24 66 230 240 264 290 306 332 356 366 530 572 590 596	-1382511528522
SPT(16)	2128447134023167627	0 46 70 120 132 154 160 172 234 246 252 274 286 336 360 406	-758466521662
SPT(16)	2128447159033157791	0 12 48 70 100 126 168 178 180 190 232 258 288 310 346 358	-733456531498
STPT(10)	2128447406739667829	0 2 12 14 30 32 48 50 60 62	-485750021460
SPT(16)	2128447809124499897	0 24 56 84 140 156 254 266 300 312 410 426 482 510 542 566	-83365189392
SPT(16)	2128448050337144059	0 40 42 82 102 124 132 144 280 292 300 322 342 382 384 424	157847454770
SPT(16)	2128448442376855187	0 42 44 80 84 140 162 176 270 284 306 362 366 402 404 446	549887165898
STPT(10)	2128448663237121077	0 2 30 32 72 74 114 116 144 146	770747431788
STPT(10)	2128448664131539427	0 2 12 14 42 44 72 74 84 86	771641850138
SPT(16)	2128448889646869913	0 34 96 156 208 210 226 256 378 408 424 426 478 538 600 634	997157180624