Prime p₀= 2038967206887825029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=80, k=10, 2 10 2 16 2

TPT(14)	2038965305184358721	0 2 120 122 156 158 186 188 198 200 210 212 258 260	-1901703466308
SPT(16)	2038966393795018211	0 6 42 66 96 102 122 150 188 216 236 242 272 296 332 338	-813092806818
SPT(16)	2038966891547606171	0 26 126 132 152 162 170 182 216 228 236 246 266 272 372 398	-315340218858
SPT(16)	2038966896924442747	0 16 54 82 126 160 216 286 330 400 456 490 534 562 600 616	-309963382282
STPT(10)	2038966954599916181	0 2 36 38 78 80 120 122 156 158	-252287908848
SPT(16)	2038966989654412943	0 6 14 20 24 48 56 90 164 198 206 230 234 240 248 254	-217233412086
SPT(16)	2038967398151694287	0 32 54 72 102 116 140 156 170 186 210 224 254 272 294 326	191263869258
SPT(16)	2038968350413984643	0 14 20 78 90 108 150 170 258 278 320 338 350 408 414 428	1143526159614
STPT(10)	2038968992585273759	0 2 48 50 90 92 132 134 180 182	1785697448730
SPT(16)	2038969696411755839	0 14 44 50 78 120 174 198 200 224 278 320 348 354 384 398	2489523930810
STPT(10)	2038969717287294677	0 2 12 14 132 134 252 254 264 266	2510399469648