Prime p₀= 1022171431519008467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 10 2 58 2

STPT(12)	1022170282597352807	0 2 42 44 90 92 114 116 162 164 204 206	-1148921655660
SPT(16)	1022170407305769499	0 30 60 78 114 120 138 228 334 424 442 448 484 502 532 562	-1024213238968
SPT(16)	1022170895947071877	0 4 10 12 30 40 42 70 114 142 144 154 172 174 180 184	-535571936590
STPT(10)	1022170999259503697	0 2 90 92 102 104 114 116 204 206	-432259504770
SPT(16)	1022171335498759889	0 2 48 50 60 72 98 132 158 192 218 230 240 242 288 290	-96020248578
SPT(16)	1022171343557302291	0 28 72 78 82 90 96 138 220 262 268 276 280 286 330 358	-87961706176
SPT(16)	1022171670294649159	0 4 22 48 64 120 130 138 154 162 172 228 244 270 288 292	238775640692
STPT(10)	1022171853823683359	0 2 18 20 30 32 42 44 60 62	422304674892
STPT(10)	1022171984554908137	0 2 30 32 42 44 54 56 84 86	553035899670
STPT(10)	1022172263557541219	0 2 12 14 30 32 48 50 60 62	832038532752
STPT(10)	1022172511731193631	0 2 6 8 48 50 90 92 96 98	1080212185164