Prime p₀= 2879811125019194459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2879808927103059181	0 18 46 70 72 76 96 118 150 172 192 196 198 222 250 268	-2197916135278
TPT(14)	2879809810523914817	0 2 90 92 174 176 300 302 402 404 444 446 510 512	-1314495279642
TPT(14)	2879810159294346371	0 2 18 20 36 38 120 122 156 158 168 170 186 188	-965724848088
SPT(16)	2879810781157472957	0 32 44 60 110 176 194 246 260 312 330 396 446 462 474 506	-343861721502
STPT(10)	2879810890848929237	0 2 54 56 72 74 90 92 144 146	-234170265222
STPT(10)	2879810911619075261	0 2 36 38 78 80 120 122 156 158	-213400119198
SPT(18)	2879811269109590287	0 52 72 90 112 150 154 174 184 192 202 222 226 264 286 304 324 376	144090395828
SPT(16)	2879811466555123699	0 34 100 148 154 180 184 190 222 228 232 258 264 312 378 412	341535929240
STPT(10)	2879811513710570597	0 2 54 56 72 74 90 92 144 146	388691376138
SPT(16)	2879811607569241799	0 2 12 38 48 54 90 98 114 122 158 164 174 200 210 212	482550047340
STPT(10)	2879812289964691187	0 2 12 14 42 44 72 74 84 86	1164945496728