Prime p₀= 2468231599403333537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2468230268525031457	0 10 30 42 46 100 102 166 186 250 252 306 310 322 342 352	-1330878302080
SPT(16)	2468230380502372103	0 8 30 38 90 98 168 170 294 296 366 374 426 434 456 464	-1218900961434
SPT(16)	2468230758118553039	0 2 30 50 68 72 122 128 132 138 188 192 210 230 258 260	-841284780498
SPT(16)	2468231329367893213	0 36 46 70 76 120 138 190 234 286 304 348 354 378 388 424	-270035440324
TPT(14)	2468231529489788771	0 2 90 92 216 218 228 230 330 332 426 428 438 440	-69913544766
STPT(10)	2468231584025410079	0 2 30 32 60 62 90 92 120 122	-15377923458
SPT(16)	2468231952052274999	0 30 108 134 170 174 288 314 444 470 584 588 624 650 728 758	352648941462
SPT(16)	2468232035955801443	0 18 38 60 66 74 80 96 128 144 150 158 164 186 206 224	436552467906
SPT(16)	2468232076151577493	0 10 16 60 76 88 136 148 156 168 216 228 244 288 294 304	476748243956
STPT(10)	2468232134525990447	0 2 24 26 42 44 60 62 84 86	535122656910
SPT(16)	2468233025327656087	0 54 64 72 106 112 184 190 216 222 294 300 334 342 352 406	1425924322550