Prime p₀= 3023490458142505667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: conf [MM]
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3023489282007755611	0 42 112 166 196 228 246 268 360 382 400 432 462 516 586 628	-1176134750056
SPT(16)	3023489689665290023	0 34 54 78 124 156 184 198 376 390 418 450 496 520 540 574	-768477215644
SPT(16)	3023489787734856619	0 18 40 58 132 180 270 280 312 322 412 460 534 552 574 592	-670407649048
STPT(10)	3023490023404615319	0 2 18 20 60 62 102 104 120 122	-434737890348
TPT(14)	3023490300203506337	0 2 12 14 24 26 42 44 72 74 84 86 114 116	-157938999330
STPT(10)	3023490446903658629	0 2 42 44 60 62 78 80 120 122	-11238847038
STPT(10)	3023490610686490337	0 2 30 32 42 44 54 56 84 86	152543984670
SPT(16)	3023490703817160637	0 30 40 100 124 126 144 154 186 196 214 216 240 300 310 340	245674654970
SPT(16)	3023490779057637043	0 4 18 60 70 130 184 198 280 294 348 408 418 460 474 478	320915131376
TPT(14)	3023491254764547557	0 2 12 14 42 44 90 92 102 104 132 134 144 146	796622041890
STPT(10)	3023491424896519301	0 2 6 8 48 50 90 92 96 98	966754013634