Prime p₀= 2451501462668522477 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 88 2 40 2

SPT(18)	2451500803811288113	0 10 16 34 84 96 100 120 124 150 154 174 178 190 240 258 264 274	-658857234364
STPT(10)	2451500974998126407	0 2 42 44 72 74 102 104 144 146	-487670396070
SPT(16)	2451500978355101591	0 2 8 18 20 42 72 78 140 146 176 198 200 210 216 218	-484313420886
STPT(10)	2451501068483807141	0 2 6 8 48 50 90 92 96 98	-394184715336
SPT(16)	2451501176293192277	0 24 36 56 72 90 92 102 104 114 116 134 150 170 182 206	-286375330200
SPT(16)	2451501281579058781	0 18 28 36 76 142 156 172 186 202 216 282 322 330 340 358	-181089463696
STPT(10)	2451501512259705677	0 2 72 74 102 104 132 134 204 206	49591183200
SPT(16)	2451501597951842077	0 22 24 52 54 64 70 126 130 186 192 202 204 232 234 256	135283319600
STPT(10)	2451501727151372471	0 2 36 38 78 80 120 122 156 158	264482849994
STPT(10)	2451501831459093767	0 2 54 56 72 74 90 92 144 146	368790571290
STPT(10)	2451501943789176821	0 2 6 8 48 50 90 92 96 98	481120654344