Prime p₀= 2579490770320300997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2579489297095684741	0 18 52 60 88 108 136 160 228 252 280 300 328 336 370 388	-1473224616256
SPT(16)	2579489582231080019	0 8 20 42 102 132 138 180 182 224 230 260 320 342 354 362	-1188089220978
STPT(10)	2579490161426289467	0 2 30 32 72 74 114 116 144 146	-608894011530
SPT(16)	2579490221654447669	0 8 38 50 60 78 98 102 140 144 164 182 192 204 234 242	-548665853328
SPT(16)	2579490572403030709	0 10 22 24 30 34 42 90 142 190 198 202 208 210 222 232	-197917270288
STPT(10)	2579490730111868381	0 2 6 8 48 50 90 92 96 98	-40208432616
STPT(10)	2579490895624171127	0 2 30 32 42 44 54 56 84 86	125303870130
STPT(10)	2579491208990545271	0 2 36 38 78 80 120 122 156 158	438670244274
STPT(10)	2579491302403970957	0 2 30 32 60 62 90 92 120 122	532083669960
STPT(10)	2579491479295910447	0 2 30 32 72 74 114 116 144 146	708975609450
SPT(16)	2579491748827753051	0 42 66 90 112 118 120 132 166 178 180 186 208 232 256 298	978507452054