Prime p₀= 1458571442167823957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: marmot
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1458570627242694769	0 34 58 82 84 240 264 268 294 298 322 478 480 504 528 562	-814925129188
SPT(16)	1458570834020064031	0 10 28 42 60 78 88 100 108 120 130 148 166 180 198 208	-608147759926
STPT(10)	1458571026017154821	0 2 36 38 78 80 120 122 156 158	-416150669136
SPT(16)	1458571057407216073	0 28 70 96 138 144 150 156 208 214 220 226 268 294 336 364	-384760607884
STPT(10)	1458571161691546751	0 2 30 32 60 62 90 92 120 122	-280476277206
STPT(10)	1458571378470696401	0 2 6 8 18 20 30 32 36 38	-63697127556
SPT(16)	1458571486103075969	0 32 60 78 80 102 108 128 162 182 188 210 212 230 258 290	43935252012
STPT(10)	1458571646246536649	0 2 18 20 60 62 102 104 120 122	204078712692
SPT(16)	1458571777192215683	0 30 56 60 96 126 138 140 156 158 170 200 236 240 266 296	335024391726
SPT(16)	1458571821224475379	0 48 88 100 108 112 162 210 220 268 318 322 330 342 382 430	379056651422
STPT(10)	1458571956113175269	0 2 42 44 60 62 78 80 120 122	513945351312