Prime p₀= 1142339636214049727 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: Alnitak2019
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1142337777031630919	0 18 24 38 54 68 78 110 132 164 174 188 204 218 224 242	-1859182418808
SPT(16)	1142337804918092599	0 18 34 48 64 84 94 108 130 144 154 174 190 204 220 238	-1831295957128
STPT(10)	1142338057087805651	0 2 78 80 108 110 138 140 216 218	-1579126244076
STPT(10)	1142338985442645797	0 2 42 44 72 74 102 104 144 146	-650771403930
SPT(16)	1142339086142058221	0 18 30 48 126 128 140 146 180 186 198 200 278 296 308 326	-550071991506
STPT(10)	1142339282106987719	0 2 18 20 30 32 42 44 60 62	-354107062008
SPT(16)	1142340164471573827	0 12 16 30 34 90 100 102 154 156 166 222 226 240 244 256	528257524100
SPT(16)	1142340230322882697	0 64 96 144 150 162 222 250 276 304 364 376 382 430 462 526	594108832970
STPT(10)	1142340379194178457	0 2 42 44 72 74 102 104 144 146	742980128730
SPT(16)	1142340395558944151	0 8 20 30 140 168 182 188 192 198 212 240 350 360 372 380	759344894424
SPT(16)	1142340657613089299	0 14 44 54 120 134 140 158 204 222 228 242 308 318 348 362	1021399039572