Prime p₀= 2310142534122264137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: FritzB
db: batch=81, k=10, 2 88 2 10 2

SPT(16)	2310141499214117839	0 12 18 28 40 48 78 100 102 124 154 162 174 184 190 202	-1034908146298
STPT(10)	2310141562694515337	0 2 60 62 72 74 84 86 144 146	-971427748800
STPT(10)	2310141589635908009	0 2 18 20 60 62 102 104 120 122	-944486356128
STPT(10)	2310142281053012849	0 2 18 20 60 62 102 104 120 122	-253069251288
SPT(16)	2310142372853675531	0 6 20 30 36 72 80 108 110 138 146 182 188 198 212 218	-161268588606
SPT(16)	2310142384601523389	0 2 14 32 74 92 98 102 140 144 150 168 210 228 240 242	-149520740748
SPT(16)	2310142611301242583	0 6 40 144 154 166 186 208 216 238 258 270 280 384 418 424	77178978446
STPT(10)	2310142683834238439	0 2 18 20 30 32 42 44 60 62	149711974302
TPT(14)	2310142741366860731	0 2 90 92 168 170 210 212 258 260 270 272 300 302	207244596594
SPT(16)	2310142961496053009	0 20 30 54 84 134 152 174 218 240 258 308 338 362 372 392	427373788872
STPT(10)	2310143163419517857	0 2 30 32 72 74 114 116 144 146	629297253720