Prime p₀= 2667528611443909181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 124 2 10 2

SPT(16)	2667527295007176839	0 68 80 98 110 138 158 164 168 174 194 222 234 252 264 332	-1316436732342
SPT(16)	2667527570025268109	0 12 18 42 60 78 134 150 152 168 224 242 260 284 290 302	-1041418641072
SPT(16)	2667527580348802931	0 26 42 62 86 90 110 116 126 132 152 156 180 200 216 242	-1031095106250
SPT(16)	2667527658346128001	0 12 22 28 90 142 156 160 168 172 186 238 300 306 316 328	-953097781180
SPT(16)	2667528027497570551	0 12 18 40 58 70 72 108 160 196 198 210 228 250 256 268	-583946338630
STPT(10)	2667528494377069637	0 2 30 32 42 44 54 56 84 86	-117066839544
STPT(10)	2667528676501629287	0 2 12 14 42 44 72 74 84 86	65057720106
STPT(10)	2667528874265432159	0 2 48 50 90 92 132 134 180 182	262821522978
SPT(16)	2667528901063323127	0 10 46 76 84 94 120 124 132 136 162 172 180 210 246 256	289619413946
SPT(16)	2667529068107489857	0 12 22 46 64 96 124 150 166 192 220 252 270 294 304 316	456663580676
STPT(10)	2667529414430472437	0 2 24 26 42 44 60 62 84 86	802986563256