Prime p₀= 1458585071082568769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Theadalus
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1458583452895178801	0 38 66 98 240 266 270 288 338 356 360 386 528 560 588 626	-1618187389968
SPT(16)	1458583688898479347	0 46 66 72 94 100 102 106 150 154 156 162 184 190 210 256	-1382184089422
STPT(10)	1458583765088262257	0 2 30 32 42 44 54 56 84 86	-1305994306512
STPT(10)	1458584417515019537	0 2 12 14 42 44 72 74 84 86	-653567549232
SPT(16)	1458584467154787527	0 42 62 102 120 140 162 176 210 224 246 266 284 324 344 386	-603927781242
SPT(16)	1458585025810689089	0 8 32 42 60 98 120 140 180 200 222 260 278 288 312 320	-45271879680
SPT(16)	1458585390809584073	0 14 24 26 38 66 80 84 110 114 128 156 168 170 180 194	319727015304
STPT(10)	1458585544064984519	0 2 18 20 30 32 42 44 60 62	472982415750
STPT(10)	1458585550883179097	0 2 30 32 42 44 54 56 84 86	479800610328
STPT(10)	1458585657535216421	0 2 30 32 78 80 126 128 156 158	586452647652
STPT(10)	1458585972555084587	0 2 30 32 42 44 54 56 84 86	901472515818