Prime p₀= 3031605490657024157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3031604939646696671	0 26 42 66 68 86 96 140 168 212 222 240 242 266 282 308	-551010327486
SPT(16)	3031604962180018339	0 12 30 124 154 168 192 198 274 280 304 318 348 442 460 472	-528477005818
SPT(16)	3031605021520305151	0 22 36 42 52 70 132 138 160 166 228 246 256 262 276 298	-469136719006
STPT(10)	3031605045317865197	0 2 30 32 42 44 54 56 84 86	-445339158960
STPT(10)	3031605208284539567	0 2 90 92 102 104 114 116 204 206	-282372484590
SPT(16)	3031605319292476529	0 14 18 54 72 102 110 168 194 252 260 290 308 344 348 362	-171364547628
SPT(16)	3031606356327967619	0 18 24 32 42 48 54 90 152 188 194 200 210 218 224 242	865670943462
STPT(10)	3031606555860673409	0 2 12 14 90 92 168 170 180 182	1065203649252
SPT(16)	3031607088147413471	0 36 48 62 66 80 86 98 120 132 138 152 156 170 182 218	1597490389314
STPT(10)	3031607104645451117	0 2 30 32 60 62 90 92 120 122	1613988426960
SPT(16)	3031607282884323103	0 10 16 48 76 90 174 198 316 340 424 438 466 498 504 514	1792227298946