Prime p₀= 2688751952571521867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: conf [MM]
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2688750221121461407	0 4 52 60 66 72 94 96 100 102 124 130 136 144 192 196	-1731450060460
STPT(10)	2688750795484105277	0 2 72 74 102 104 132 134 204 206	-1157087416590
STPT(10)	2688751345557257417	0 2 90 92 192 194 294 296 384 386	-607014264450
STPT(10)	2688751466014001429	0 2 18 20 30 32 42 44 60 62	-486557520438
SPT(16)	2688751637415843449	0 24 50 60 74 92 104 108 224 228 240 258 272 282 308 332	-315155678418
SPT(16)	2688751651758885607	0 6 12 34 82 100 112 114 142 144 156 174 222 244 250 256	-300812636260
SPT(16)	2688752691021209341	0 6 40 42 58 96 106 118 210 222 232 270 286 288 322 328	738449687474
STPT(10)	2688752841411346049	0 2 18 20 30 32 42 44 60 62	888839824182
STPT(10)	2688753075960275297	0 2 30 32 42 44 54 56 84 86	1123388753430
SPT(16)	2688753160982721401	0 8 32 38 60 90 98 116 132 150 158 188 210 216 240 248	1208411199534
SPT(16)	2688753257462160533	0 24 30 116 134 170 176 186 218 228 234 270 288 374 380 404	1304890638666