Prime p₀= 2311890887251025027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 52 2 76 2

SPT(16)	2311890113931712211	0 18 32 36 60 66 98 102 146 150 182 188 212 216 230 248	-773319312816
SPT(16)	2311890116633407741	0 18 22 36 40 46 60 90 118 148 162 168 172 186 190 208	-770617617286
STPT(10)	2311890433775702081	0 2 30 32 78 80 126 128 156 158	-453475322946
STPT(10)	2311890606603734909	0 2 18 20 30 32 42 44 60 62	-280647290118
TPT(14)	2311890626630494139	0 2 42 44 102 104 138 140 198 200 228 230 270 272	-260620530888
TPT(14)	2311890717953370479	0 2 72 74 78 80 90 92 120 122 162 164 168 170	-169297654548
STPT(10)	2311891021861916447	0 2 30 32 42 44 54 56 84 86	134610891420
TPT(14)	2311891281635877671	0 2 6 8 90 92 120 122 186 188 246 248 270 272	394384852644
STPT(10)	2311891450997316821	0 2 6 8 48 50 90 92 96 98	563746291794
SPT(16)	2311891864652351977	0 46 72 76 102 132 186 196 276 286 340 370 396 400 426 472	977401326950
TPT(14)	2311891915055239259	0 2 12 14 72 74 150 152 210 212 252 254 402 404	1027804214232