Prime p₀= 2823692151876635057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2823690902641041593	0 18 24 68 90 98 110 128 210 228 240 248 270 314 320 338	-1249235593464
STPT(10)	2823691289443456109	0 2 18 20 30 32 42 44 60 62	-862433178948
STPT(10)	2823691326981220217	0 2 30 32 42 44 54 56 84 86	-824895414840
SPT(16)	2823691502664075107	0 12 56 86 122 176 206 212 234 240 270 324 360 390 434 446	-649212559950
SPT(16)	2823691829296319161	0 12 42 70 76 90 118 136 162 180 208 222 228 256 286 298	-322580315896
STPT(10)	2823692144719537361	0 2 6 8 48 50 90 92 96 98	-7157097696
SPT(16)	2823692469392424761	0 32 42 66 80 102 146 152 216 222 266 288 302 326 336 368	317515789704
STPT(10)	2823693106413917207	0 2 30 32 42 44 54 56 84 86	954537282150
SPT(16)	2823693502821842591	0 42 68 72 80 128 146 212 276 342 360 408 416 420 446 488	1350945207534
SPT(16)	2823693625790758099	0 4 22 60 82 100 142 144 190 192 234 252 274 312 330 334	1473914123042
STPT(10)	2823693928791916067	0 2 24 26 42 44 60 62 84 86	1776915281010