Prime p₀= 2667528676501629287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2667527570025268109	0 12 18 42 60 78 134 150 152 168 224 242 260 284 290 302	-1106476361178
SPT(16)	2667527580348802931	0 26 42 62 86 90 110 116 126 132 152 156 180 200 216 242	-1096152826356
SPT(16)	2667527658346128001	0 12 22 28 90 142 156 160 168 172 186 238 300 306 316 328	-1018155501286
SPT(16)	2667528027497570551	0 12 18 40 58 70 72 108 160 196 198 210 228 250 256 268	-649004058736
STPT(10)	2667528494377069637	0 2 30 32 42 44 54 56 84 86	-182124559650
STPT(10)	2667528611443909181	0 2 126 128 138 140 150 152 276 278	-65057720106
STPT(10)	2667528874265432159	0 2 48 50 90 92 132 134 180 182	197763802872
SPT(16)	2667528901063323127	0 10 46 76 84 94 120 124 132 136 162 172 180 210 246 256	224561693840
SPT(16)	2667529068107489857	0 12 22 46 64 96 124 150 166 192 220 252 270 294 304 316	391605860570
STPT(10)	2667529414430472437	0 2 24 26 42 44 60 62 84 86	737928843150
STPT(10)	2667529979351456897	0 2 12 14 42 44 72 74 84 86	1302849827610