Prime p₀= 2338876108946587121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2338874703805005809	0 2 42 44 60 62 78 80 120 122	-1405141581312
STPT(10)	2338874746280310419	0 2 18 20 30 32 42 44 60 62	-1362666276702
TPT(14)	2338875194032488359	0 2 48 50 120 122 132 134 138 140 150 152 360 362	-914914098762
SPT(16)	2338875629855616161	0 18 32 38 48 78 90 98 192 200 212 242 252 258 272 290	-479090970960
STPT(10)	2338875928473067901	0 2 30 32 78 80 126 128 156 158	-180473519220
SPT(16)	2338875985270087513	0 28 40 46 78 96 144 208 216 280 328 346 378 384 396 424	-123676499608
STPT(10)	2338876276309326539	0 2 30 32 60 62 90 92 120 122	167362739418
SPT(16)	2338876380068405939	0 32 102 104 110 188 192 234 308 350 354 432 438 440 510 542	271121818818
SPT(16)	2338876704174446207	0 24 36 44 50 114 116 156 170 210 212 276 282 290 302 326	595227859086
SPT(16)	2338876709792990963	0 8 38 56 60 68 74 96 98 120 126 134 138 156 186 194	600846403842
TPT(14)	2338876975713172859	0 2 30 32 72 74 180 182 228 230 252 254 282 284	866766585738