Prime p₀= 1014158300047516439 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: stoneageman
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1014157666679760851	0 36 42 50 66 68 92 98 150 156 180 182 198 206 212 248	-633367755588
STPT(10)	1014157870848400007	0 2 30 32 72 74 114 116 144 146	-429199116432
SPT(16)	1014157892410066457	0 6 42 50 54 126 144 162 284 302 320 392 396 404 440 446	-407637449982
STPT(10)	1014157923808843571	0 2 6 8 18 20 30 32 36 38	-376238672868
STPT(10)	1014158005766944151	0 2 36 38 78 80 120 122 156 158	-294280572288
SPT(16)	1014158069080726783	0 10 28 54 94 126 154 156 178 180 208 240 280 306 324 334	-230966789656
SPT(16)	1014158331580693997	0 14 32 84 90 126 152 162 164 174 200 236 242 294 312 326	31533177558
SPT(16)	1014158510633283187	0 16 40 42 46 132 156 186 196 226 250 336 340 342 366 382	210585766748
SPT(16)	1014158594811612487	0 4 6 34 66 132 142 144 292 294 304 370 402 430 432 436	294764096048
STPT(10)	1014158870039541011	0 2 30 32 60 62 90 92 120 122	569992024572
SPT(16)	1014159077728712459	0 62 68 90 92 110 150 180 230 260 300 318 320 342 348 410	777681196020