Prime p₀= 2338868423693275841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Xenon
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2338868080401263599	0 18 24 58 94 108 114 172 180 238 244 258 294 328 334 352	-343292012242
STPT(10)	2338868102869721609	0 2 18 20 30 32 42 44 60 62	-320823554232
SPT(16)	2338868129059201469	0 8 30 44 48 78 90 98 114 122 134 164 168 182 204 212	-294634074372
STPT(10)	2338868139487799831	0 2 6 8 18 20 30 32 36 38	-284205476010
SPT(16)	2338868184333679903	0 10 28 36 58 78 88 100 114 126 136 156 178 186 204 214	-239359595938
STPT(10)	2338868208716678459	0 2 42 44 60 62 78 80 120 122	-214976597382
SPT(16)	2338868479098550067	0 30 54 120 162 180 194 204 272 282 296 314 356 422 446 476	55405274226
STPT(10)	2338868628654194639	0 2 30 32 60 62 90 92 120 122	204960918798
SPT(16)	2338868836721372209	0 4 24 28 34 52 108 118 144 154 210 228 234 238 258 262	413028096368
SPT(16)	2338869070668821209	0 60 78 88 198 234 238 250 252 264 268 304 414 424 442 502	646975545368
STPT(10)	2338869299233839011	0 2 6 8 48 50 90 92 96 98	875540563170