Prime p₀= 2451578217885066227 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2451577161990812747	0 12 36 56 90 92 126 140 162 176 210 212 246 266 290 302	-1055894253480
STPT(10)	2451577553704092731	0 2 30 32 78 80 126 128 156 158	-664180973496
SPT(16)	2451577754533197833	0 6 8 50 56 74 104 144 170 210 240 258 264 306 308 314	-463351868394
SPT(16)	2451577764210320789	0 14 68 72 102 150 218 270 302 354 422 470 500 504 558 572	-453674745438
SPT(16)	2451577921045600751	0 6 62 66 108 150 162 188 210 236 248 290 332 336 392 398	-296839465476
STPT(10)	2451578068008806279	0 2 12 14 90 92 168 170 180 182	-149876259948
STPT(10)	2451578530998826259	0 2 18 20 30 32 42 44 60 62	313113760032
STPT(10)	2451578946222714569	0 2 18 20 30 32 42 44 60 62	728337648342
SPT(16)	2451579130944607459	0 12 48 64 70 78 82 94 108 120 124 132 138 154 190 202	913059541232
SPT(16)	2451579421422782173	0 18 34 78 84 208 210 234 274 298 300 424 430 474 490 508	1203537715946
STPT(10)	2451579607871608811	0 2 36 38 78 80 120 122 156 158	1389986542584