Prime p₀= 2690942998589611901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Roadranner
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2690941272305370571	0 6 16 36 58 78 138 166 240 268 328 348 370 390 400 406	-1726284241330
STPT(10)	2690941301515237229	0 2 42 44 90 92 138 140 180 182	-1697074374672
STPT(10)	2690942209343209091	0 2 6 8 48 50 90 92 96 98	-789246402810
STPT(10)	2690942363488018691	0 2 6 8 18 20 30 32 36 38	-635101593210
SPT(16)	2690942810032881487	0 6 12 72 90 94 136 180 196 240 282 286 304 364 370 376	-188556730414
SPT(16)	2690942991844520243	0 6 48 68 80 96 98 108 206 216 218 234 246 266 308 314	-6745091658
SPT(16)	2690943027166552489	0 28 30 58 88 100 130 144 154 168 198 210 240 268 270 298	28576940588
STPT(10)	2690943236065885709	0 2 18 20 30 32 42 44 60 62	237476273808
SPT(16)	2690943362423423819	0 48 110 134 140 144 152 158 204 210 218 222 228 252 314 362	363833811918
STPT(10)	2690943363453527009	0 2 42 44 60 62 78 80 120 122	364863915108
SPT(16)	2690943699235295893	0 28 30 58 70 90 100 130 168 198 208 228 240 268 270 298	700645683992