Prime p₀= 1083375404775703997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Gumbo
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1083374729912384249	0 2 32 48 72 98 120 134 138 152 174 200 224 240 270 272	-674863319748
SPT(16)	1083374972860674367	0 24 52 54 126 174 186 216 220 250 262 310 382 384 412 436	-431915029630
STPT(10)	1083375032076170921	0 2 6 8 48 50 90 92 96 98	-372699533076
TPT(14)	1083375033300545129	0 2 42 44 132 134 198 200 222 224 258 260 282 284	-371475158868
SPT(16)	1083375210728405263	0 4 28 30 54 64 78 88 180 190 204 214 238 240 264 268	-194047298734
SPT(16)	1083375305970547199	0 18 32 60 78 80 98 168 284 354 372 374 392 420 434 452	-98805156798
SPT(16)	1083375416577443039	0 8 12 44 74 114 180 198 224 242 308 348 378 410 414 422	11801739042
SPT(16)	1083376123340789527	0 6 42 64 120 130 132 142 354 364 366 376 432 454 490 496	718565085530
STPT(12)	1083376598287278719	0 2 30 32 48 50 222 224 240 242 270 272	1193511574722
STPT(10)	1083376897799165951	0 2 36 38 78 80 120 122 156 158	1493023461954
SPT(16)	1083377319188690039	0 20 114 132 164 180 222 230 282 290 332 348 380 398 492 512	1914412986042