Prime p₀= 3031954289630648279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Alnitak2019
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	3031952739873517907	0 2 42 44 72 74 102 104 144 146	-1549757130372
SPT(16)	3031952749357321499	0 42 78 84 132 152 188 194 198 204 240 260 308 314 350 392	-1540273326780
SPT(16)	3031953250591421461	0 42 70 82 130 148 166 208 210 252 270 288 336 348 376 418	-1039039226818
STPT(10)	3031953797829524549	0 2 18 20 60 62 102 104 120 122	-491801123730
STPT(10)	3031953882400471079	0 2 42 44 60 62 78 80 120 122	-407230177200
STPT(10)	3031953924078009977	0 2 54 56 72 74 90 92 144 146	-365552638302
SPT(16)	3031955100320043119	0 8 74 80 102 104 140 158 234 252 288 290 312 318 384 392	810689394840
SPT(16)	3031955382495977911	0 18 22 30 46 52 88 102 106 120 156 162 178 186 190 208	1092865329632
SPT(16)	3031955518218231811	0 12 16 108 112 126 138 166 192 220 232 246 250 342 346 358	1228587583532
STPT(10)	3031955662699401701	0 2 6 8 48 50 90 92 96 98	1373068753422
STPT(10)	3031955668461918617	0 2 42 44 72 74 102 104 144 146	1378831270338