Prime p₀= 1458572232386510861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: marmot
db: batch=78, k=10, 2 4 2 40 2

SPT(16)	1458571777192215683	0 30 56 60 96 126 138 140 156 158 170 200 236 240 266 296	-455194295178
SPT(16)	1458571821224475379	0 48 88 100 108 112 162 210 220 268 318 322 330 342 382 430	-411162035482
STPT(10)	1458571956113175269	0 2 42 44 60 62 78 80 120 122	-276273335592
STPT(10)	1458572015137785017	0 2 30 32 42 44 54 56 84 86	-217248725844
SPT(16)	1458572054597453413	0 24 94 144 154 160 216 226 228 238 294 300 310 360 430 454	-177789057448
SPT(18)	1458572059816764899	0 14 30 84 102 132 164 182 200 282 300 318 350 380 398 452 468 482	-172569745962
SPT(16)	1458572244533902163	0 8 18 84 86 110 144 156 248 260 294 318 320 386 396 404	12147391302
TPT(14)	1458572478841372679	0 2 12 14 30 32 42 44 72 74 78 80 108 110	246454861818
STPT(12)	1458572505595334807	0 2 12 14 30 32 42 44 60 62 72 74	273208823946
SPT(16)	1458572613310885739	0 2 20 42 50 212 300 338 342 380 468 630 638 660 678 680	380924374878
SPT(16)	1458572769762178787	0 26 66 80 96 104 126 164 192 230 252 260 276 290 330 356	537375667926