Prime p₀= 1273759254711797561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: Theadalus
db: batch=77, k=10, 2 106 2 28 2

SPT(16)	1273757946337187551	0 16 18 22 42 60 76 106 282 312 328 346 366 370 372 388	-1308374610010
STPT(10)	1273758130628784011	0 2 30 32 78 80 126 128 156 158	-1124083013550
STPT(10)	1273758231346977989	0 2 18 20 30 32 42 44 60 62	-1023364819572
STPT(10)	1273758285814464347	0 2 42 44 72 74 102 104 144 146	-968897333214
SPT(16)	1273758334142793281	0 2 90 122 128 188 206 216 272 282 300 360 366 398 486 488	-920569004280
SPT(16)	1273758487188884891	0 8 32 36 102 138 152 182 186 216 230 266 332 336 360 368	-767522912670
STPT(10)	1273759616287846757	0 2 24 26 42 44 60 62 84 86	361576049196
TPT(14)	1273759642151624489	0 2 12 14 78 80 108 110 138 140 162 164 210 212	387439826928
SPT(16)	1273759682948174041	0 28 42 60 70 72 126 132 196 202 256 258 268 286 300 328	428236376480
STPT(10)	1273760333398614071	0 2 6 8 48 50 90 92 96 98	1078686816510
SPT(16)	1273760496122635121	0 12 80 98 102 110 132 168 170 206 228 236 240 258 326 338	1241410837560