Prime p₀= 2326686686419275137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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-2W]Kurzer
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2326685381697392113	0 34 58 90 126 150 156 166 168 178 184 208 244 276 300 334	-1304721883024
STPT(10)	2326685807821727237	0 2 30 32 42 44 54 56 84 86	-878597547900
SPT(16)	2326685905499482939	0 12 40 42 48 52 88 102 118 132 168 172 178 180 208 220	-780919792198
SPT(16)	2326685986635613849	0 28 30 52 58 78 112 138 154 180 214 234 240 262 264 292	-699783661288
SPT(18)	2326686323717171701	0 28 52 60 88 90 126 186 190 258 262 322 358 360 388 396 420 448	-362702103436
SPT(16)	2326686508600464587	0 12 24 26 54 80 96 150 206 260 276 302 330 332 344 356	-177818810550
STPT(10)	2326687113713917457	0 2 24 26 42 44 60 62 84 86	427294642320
STPT(10)	2326687854306654731	0 2 6 8 48 50 90 92 96 98	1167887379594
SPT(16)	2326688730793567069	0 18 24 34 42 88 102 108 154 160 174 220 228 238 244 262	2044374291932
SPT(16)	2326688976870428869	0 4 70 90 102 114 144 160 294 310 340 352 364 384 450 454	2290451153732
STPT(10)	2326689015495638279	0 2 12 14 90 92 168 170 180 182	2329076363142