Prime p₀= 2497284990584779667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Hightower
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2497283248740126347	0 2 54 56 72 74 90 92 144 146	-1741844653320
STPT(10)	2497283336702686451	0 2 78 80 108 110 138 140 216 218	-1653882093216
SPT(16)	2497283575691996527	0 24 42 52 66 102 130 142 204 216 244 280 294 304 322 346	-1414892783140
STPT(10)	2497284133317975929	0 2 48 50 90 92 132 134 180 182	-857266803738
STPT(10)	2497284658430441819	0 2 42 44 60 62 78 80 120 122	-332154337848
SPT(16)	2497284918618775559	0 2 14 54 98 110 114 138 224 248 252 264 308 348 360 362	-71966004108
STPT(10)	2497285163277039011	0 2 30 32 60 62 90 92 120 122	172692259344
SPT(16)	2497285458177648041	0 12 56 116 122 170 182 192 200 210 222 270 276 336 380 392	467592868374
SPT(18)	2497286027406585881	0 8 20 68 90 140 146 180 198 278 296 330 336 386 408 456 468 476	1036821806214
STPT(10)	2497286205436300181	0 2 36 38 78 80 120 122 156 158	1214851520514
STPT(10)	2497286330256044051	0 2 6 8 48 50 90 92 96 98	1339671264384