Prime p₀= 953410536936288647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Coleslaw
db: batch=76, k=10, 2 58 2 10 2

STPT(12)	953410051052597687	0 2 24 26 84 86 90 92 150 152 174 176	-485883690960
STPT(10)	953410118601078497	0 2 72 74 102 104 132 134 204 206	-418335210150
SPT(16)	953410125246952687	0 6 30 42 54 90 94 112 114 132 136 172 184 196 220 226	-411689335960
SPT(16)	953410165514476261	0 16 22 42 72 96 106 120 202 216 226 250 280 300 306 322	-371421812386
STPT(10)	953410304867911997	0 2 30 32 42 44 54 56 84 86	-232068376650
SPT(16)	953410352414724131	0 36 78 92 120 158 168 186 362 380 390 428 456 470 512 548	-184521564516
STPT(10)	953410594039825949	0 2 18 20 30 32 42 44 60 62	57103537302
SPT(16)	953410796907241217	0 24 30 32 62 86 132 140 156 164 210 234 264 266 272 296	259970952570
SPT(16)	953410848447922421	0 12 50 56 102 116 126 138 140 152 162 176 222 228 266 278	311511633774
STPT(10)	953411306945379167	0 2 54 56 72 74 90 92 144 146	770009090520
STPT(10)	953411546388964181	0 2 30 32 78 80 126 128 156 158	1009452675534