Prime p₀= 2070549662633552057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2070548609746959227	0 2 54 56 72 74 90 92 144 146	-1052886592830
STPT(10)	2070548885682286967	0 2 24 26 42 44 60 62 84 86	-776951265090
STPT(10)	2070549046439356919	0 2 18 20 60 62 102 104 120 122	-616194195138
TPT(14)	2070549298534110071	0 2 30 32 60 62 96 98 108 110 210 212 240 242	-364099441986
STPT(10)	2070549361492651811	0 2 30 32 78 80 126 128 156 158	-301140900246
SPT(16)	2070549547710576479	0 24 44 72 114 134 144 162 200 218 228 248 290 318 338 362	-114922975578
STPT(10)	2070549670852706297	0 2 72 74 102 104 132 134 204 206	8219154240
STPT(10)	2070550021212432371	0 2 126 128 138 140 150 152 276 278	358578880314
SPT(16)	2070550087111209941	0 42 66 72 86 132 146 188 300 342 356 402 416 422 446 488	424477657884
STPT(10)	2070550225292573081	0 2 30 32 78 80 126 128 156 158	562659021024
SPT(16)	2070550276074215909	0 8 72 78 102 128 150 152 210 212 234 260 284 290 354 362	613440663852