Prime p₀= 2338868628654194639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Xenon
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2338868129059201469	0 8 30 44 48 78 90 98 114 122 134 164 168 182 204 212	-499594993170
STPT(10)	2338868139487799831	0 2 6 8 18 20 30 32 36 38	-489166394808
SPT(16)	2338868184333679903	0 10 28 36 58 78 88 100 114 126 136 156 178 186 204 214	-444320514736
STPT(10)	2338868208716678459	0 2 42 44 60 62 78 80 120 122	-419937516180
STPT(10)	2338868423693275841	0 2 6 8 48 50 90 92 96 98	-204960918798
SPT(16)	2338868479098550067	0 30 54 120 162 180 194 204 272 282 296 314 356 422 446 476	-149555644572
SPT(16)	2338868836721372209	0 4 24 28 34 52 108 118 144 154 210 228 234 238 258 262	208067177570
SPT(16)	2338869070668821209	0 60 78 88 198 234 238 250 252 264 268 304 414 424 442 502	442014626570
STPT(10)	2338869299233839011	0 2 6 8 48 50 90 92 96 98	670579644372
STPT(10)	2338869311715311537	0 2 30 32 42 44 54 56 84 86	683061116898
STPT(10)	2338869470534531507	0 2 60 62 72 74 84 86 144 146	841880336868