Prime p₀= 1681067850487941197 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: amazing
db: batch=79, k=10, 2 58 2 10 2

TPT(14)	1681066592448559427	0 2 12 14 42 44 102 104 114 116 192 194 222 224	-1258039381770
STPT(10)	1681066713485173097	0 2 30 32 72 74 114 116 144 146	-1137002768100
SPT(16)	1681066794004092821	0 32 50 56 60 162 176 198 200 222 236 338 342 348 366 398	-1056483848376
SPT(16)	1681066853031967589	0 102 104 144 170 174 180 210 242 272 278 282 308 348 350 452	-997455973608
SPT(16)	1681067655816651913	0 4 24 48 144 160 186 196 318 328 354 370 466 490 510 514	-194671289284
STPT(12)	1681067828749048847	0 2 42 44 84 86 120 122 162 164 204 206	-21738892350
SPT(16)	1681067903933256793	0 6 30 34 58 70 136 166 168 198 264 276 300 304 328 334	53445315596
STPT(10)	1681068009353315411	0 2 6 8 48 50 90 92 96 98	158865374214
STPT(10)	1681068515159109017	0 2 30 32 42 44 54 56 84 86	664671167820
SPT(16)	1681068896362234651	0 10 42 52 90 112 142 160 210 228 258 280 318 328 360 370	1045874293454
SPT(16)	1681069308188948599	0 4 10 48 54 88 94 124 138 168 174 208 214 252 258 262	1457701007402