Prime p₀= 2116176209874587681 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=80, k=10, 2 4 2 10 2

SPT(16)	2116174734917226083	0 38 48 50 74 114 150 170 204 224 260 300 324 326 336 374	-1474957361598
STPT(10)	2116174742929719257	0 2 30 32 60 62 90 92 120 122	-1466944868424
SPT(16)	2116174756556051717	0 12 26 44 54 80 86 92 114 120 126 152 162 180 194 206	-1453318535964
STPT(10)	2116175189690848787	0 2 54 56 72 74 90 92 144 146	-1020183738894
SPT(16)	2116175243306825993	0 8 18 68 146 168 204 216 278 290 326 348 426 476 486 494	-966567761688
SPT(16)	2116175296173161323	0 18 28 78 84 94 100 114 190 204 210 220 226 276 286 304	-913701426358
TPT(14)	2116176982221799727	0 2 150 152 234 236 294 296 312 314 432 434 462 464	772347212046
STPT(10)	2116177110375880631	0 2 30 32 78 80 126 128 156 158	900501292950
SPT(16)	2116177125643918013	0 8 24 50 84 98 134 140 174 180 216 230 264 290 306 314	915769330332
STPT(10)	2116177235909395817	0 2 54 56 72 74 90 92 144 146	1026034808136
SPT(16)	2116177451820013327	0 12 82 100 114 132 144 210 256 322 334 352 366 384 454 466	1241945425646