Prime p₀= 2570041036860392267 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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2570040076541619511	0 16 48 70 76 82 102 112 186 196 216 222 228 250 282 298	-960318772756
SPT(16)	2570040113407385869	0 22 48 64 90 174 180 222 370 412 418 502 528 544 570 592	-923453006398
STPT(10)	2570040437006182739	0 2 18 20 30 32 42 44 60 62	-599854209528
STPT(10)	2570040506540363609	0 2 18 20 30 32 42 44 60 62	-530320028658
TPT(14)	2570040923176239347	0 2 30 32 84 86 90 92 102 104 300 302 312 314	-113684152920
STPT(10)	2570040957098163431	0 2 36 38 78 80 120 122 156 158	-79762228836
STPT(10)	2570041334034088487	0 2 24 26 42 44 60 62 84 86	297173696220
SPT(16)	2570041429077011023	0 18 124 168 190 214 288 340 348 400 474 498 520 564 670 688	392216618756
SPT(18)	2570041434747696607	0 24 52 54 64 66 124 132 136 150 154 162 220 222 232 234 262 286	397887304340
STPT(10)	2570041531720683467	0 2 42 44 72 74 102 104 144 146	494860291200
SPT(16)	2570041581902419673	0 20 60 66 80 144 156 180 200 224 236 300 314 320 360 380	545042027406