Prime p₀= 1273666904261847881 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1273665823181618303	0 6 8 26 50 78 108 150 164 206 236 264 288 306 308 314	-1081080229578
STPT(10)	1273666294809076739	0 2 18 20 30 32 42 44 60 62	-609452771142
SPT(16)	1273666538741000461	0 18 36 66 100 148 168 192 226 250 270 318 352 382 400 418	-365520847420
SPT(16)	1273666801951856441	0 6 8 42 90 120 122 138 290 306 308 338 386 420 422 428	-102309991440
STPT(10)	1273666850937051377	0 2 42 44 72 74 102 104 144 146	-53324796504
SPT(16)	1273666866252425231	0 32 56 72 80 122 126 152 156 182 186 228 236 252 276 308	-38009422650
SPT(16)	1273667469281274049	0 30 52 64 82 94 112 120 154 162 180 192 210 222 244 274	565019426168
SPT(16)	1273668089934585707	0 14 74 84 96 134 146 162 284 300 312 350 362 372 432 446	1185672737826
SPT(16)	1273668091840488161	0 30 42 72 80 98 110 126 182 198 210 228 236 266 278 308	1187578640280
SPT(16)	1273668383429303419	0 22 34 42 84 88 90 132 160 202 204 208 250 258 270 292	1479167455538
SPT(16)	1273668493452129433	0 16 40 54 64 148 154 156 388 390 396 480 490 504 528 544	1589190281552