Prime p₀= 2736814187128079867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2736812475777742951	0 18 36 46 58 70 88 96 172 180 198 210 222 232 250 268	-1711350336916
SPT(16)	2736813411462934963	0 70 78 126 136 178 190 216 238 264 276 318 328 376 384 454	-775665144904
SPT(16)	2736813556228337837	0 14 42 56 66 72 86 170 186 270 284 290 300 314 342 356	-630899742030
STPT(10)	2736813628093417799	0 2 12 14 90 92 168 170 180 182	-559034662068
STPT(12)	2736813926224135601	0 2 18 20 60 62 96 98 138 140 156 158	-260903944266
STPT(10)	2736814171082234039	0 2 18 20 30 32 42 44 60 62	-16045845828
SPT(16)	2736814272738429409	0 12 18 82 100 120 148 154 198 204 232 252 270 334 340 352	85610349542
SPT(16)	2736814420330189931	0 2 8 32 50 92 162 182 198 218 288 330 348 372 378 380	233202110064
STPT(10)	2736814622049681947	0 2 42 44 72 74 102 104 144 146	434921602080
SPT(16)	2736814784350355873	0 86 98 104 110 164 168 170 234 236 240 294 300 306 318 404	597222276006
SPT(16)	2736814983619894097	0 6 26 42 60 84 152 182 264 294 362 386 404 420 440 446	796491814230