Prime p₀= 2120042770450089767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2120040838119712727	0 14 42 60 114 240 266 296 300 330 356 482 536 554 582 596	-1932330377040
SPT(16)	2120041316932418107	0 4 42 54 60 130 132 142 144 154 156 226 232 244 282 286	-1453517671660
STPT(10)	2120041640468217329	0 2 42 44 90 92 138 140 180 182	-1129981872438
SPT(16)	2120041922826825149	0 12 48 74 78 92 98 102 140 144 150 164 168 194 230 242	-847623264618
STPT(10)	2120042029381969211	0 2 36 38 78 80 120 122 156 158	-741068120556
STPT(10)	2120042033378919437	0 2 12 14 72 74 132 134 144 146	-737071170330
SPT(16)	2120043414976499651	0 36 56 66 78 80 122 176 192 246 288 290 302 312 332 368	644526409884
STPT(10)	2120043489838634441	0 2 6 8 48 50 90 92 96 98	719388544674
SPT(16)	2120043630944074909	0 10 58 72 82 168 198 208 234 244 274 360 370 384 432 442	860493985142
SPT(16)	2120043721656540227	0 36 56 80 132 204 326 342 344 360 482 554 606 630 650 686	951206450460
STPT(10)	2120044035697175171	0 2 6 8 108 110 210 212 216 218	1265247085404