Prime p₀= 3010670317779112169 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: eclipse99
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3010668275182854593	0 66 74 84 104 158 170 224 240 294 306 360 380 390 398 464	-2042596257576
STPT(10)	3010668400011083477	0 2 12 14 42 44 72 74 84 86	-1917768028692
SPT(16)	3010668444348912979	0 24 60 78 100 120 130 144 154 168 178 198 220 238 274 298	-1873430199190
STPT(10)	3010668998902430771	0 2 6 8 48 50 90 92 96 98	-1318876681398
SPT(16)	3010669194565808843	0 6 14 60 74 78 110 126 188 204 236 240 254 300 308 314	-1123213303326
STPT(10)	3010669891086788639	0 2 42 44 60 62 78 80 120 122	-426692323530
STPT(10)	3010670355784281257	0 2 12 14 42 44 72 74 84 86	38005169088
STPT(10)	3010670477102899997	0 2 12 14 42 44 72 74 84 86	159323787828
SPT(16)	3010670753762737181	0 2 8 78 120 132 200 212 216 228 296 308 350 420 426 428	435983625012
STPT(10)	3010670838673675361	0 2 30 32 60 62 90 92 120 122	520894563192
SPT(16)	3010670875768522321	0 76 78 112 130 132 138 148 150 160 166 168 186 220 222 298	557989410152