Prime p₀= 2338375918172293001 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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2338374442321678301	0 2 30 32 78 80 126 128 156 158	-1475850614700
SPT(18)	2338374546464368487	0 6 74 150 164 176 182 186 204 272 290 294 300 312 326 402 470 476	-1371707924514
SPT(16)	2338374558828980783	0 14 44 56 104 114 146 156 158 168 200 210 258 270 300 314	-1359343312218
STPT(10)	2338374565689446927	0 2 30 32 42 44 54 56 84 86	-1352482846074
STPT(10)	2338374784732646741	0 2 6 8 48 50 90 92 96 98	-1133439646260
SPT(16)	2338374909647722007	0 24 54 62 80 102 110 122 132 144 152 174 192 200 230 254	-1008524570994
SPT(16)	2338375944171432923	0 6 18 20 50 60 86 158 186 258 284 294 324 326 338 344	25999139922
TPT(14)	2338376454419081189	0 2 42 44 78 80 120 122 222 224 240 242 282 284	536246788188
STPT(10)	2338377065063541347	0 2 24 26 42 44 60 62 84 86	1146891248346
STPT(10)	2338377229059950171	0 2 36 38 78 80 120 122 156 158	1310887657170
STPT(10)	2338377285441506117	0 2 54 56 72 74 90 92 144 146	1367269213116