Prime p₀= 2690943363453527009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2690942810032881487	0 6 12 72 90 94 136 180 196 240 282 286 304 364 370 376	-553420645522
SPT(16)	2690942991844520243	0 6 48 68 80 96 98 108 206 216 218 234 246 266 308 314	-371609006766
STPT(10)	2690942998589611901	0 2 36 38 78 80 120 122 156 158	-364863915108
SPT(16)	2690943027166552489	0 28 30 58 88 100 130 144 154 168 198 210 240 268 270 298	-336286974520
STPT(10)	2690943236065885709	0 2 18 20 30 32 42 44 60 62	-127387641300
SPT(16)	2690943362423423819	0 48 110 134 140 144 152 158 204 210 218 222 228 252 314 362	-1030103190
SPT(16)	2690943699235295893	0 28 30 58 70 90 100 130 168 198 208 228 240 268 270 298	335781768884
STPT(10)	2690943732211234397	0 2 42 44 72 74 102 104 144 146	368757707388
SPT(16)	2690943993924030539	0 8 30 38 74 80 114 120 122 128 162 168 204 212 234 242	630470503530
STPT(10)	2690944202778324341	0 2 30 32 60 62 90 92 120 122	839324797332
SPT(16)	2690944354617252733	0 6 10 28 58 60 76 88 156 168 184 186 216 234 238 244	991163725724