Prime p₀= 1276600645176592007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1276599422327239937	0 2 42 120 134 156 170 212 264 306 320 342 356 434 474 476	-1222849352070
SPT(16)	1276599682427672663	0 20 56 60 86 126 146 230 240 324 344 384 410 414 450 470	-962748919344
SPT(16)	1276599704846275573	0 30 46 54 96 100 144 150 184 190 234 238 280 288 304 334	-940330316434
SPT(16)	1276600258990333931	0 20 78 108 140 170 192 212 216 236 258 288 320 350 408 428	-386186258076
STPT(10)	1276600413821230019	0 2 18 20 30 32 42 44 60 62	-231355361988
SPT(16)	1276600552631184541	0 10 66 76 88 160 172 180 208 216 228 300 312 322 378 388	-92545407466
SPT(16)	1276600833546302783	0 8 36 54 60 78 80 84 110 114 116 134 140 158 186 194	188369710776
SPT(16)	1276600868313655289	0 38 42 98 110 114 122 192 230 300 308 312 324 380 384 422	223137063282
STPT(10)	1276600940073606461	0 2 66 68 138 140 210 212 276 278	294897014454
STPT(10)	1276600956802933031	0 2 6 8 48 50 90 92 96 98	311626341024
SPT(13)	1276601017798777661	0 30 48 90 138 180 210 240 282 330 372 390 420	372622185654