Prime p₀= 2756849999450702339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JohnMD
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2756848371797732951	0 26 48 50 56 78 92 138 140 186 200 222 228 230 252 278	-1627652969388
SPT(16)	2756848858107631579	0 4 10 18 28 48 118 160 162 204 274 294 304 312 318 322	-1141343070760
SPT(16)	2756848903735677409	0 22 42 72 114 120 154 178 204 228 262 268 310 340 360 382	-1095715024930
SPT(16)	2756848925286911869	0 10 88 94 120 124 130 138 154 162 168 172 198 204 282 292	-1074163790470
STPT(12)	2756849029665980057	0 2 12 14 54 56 90 92 132 134 144 146	-969784722282
STPT(10)	2756849715072843491	0 2 6 8 48 50 90 92 96 98	-284377858848
SPT(16)	2756850101613700181	0 12 20 38 62 110 146 180 188 222 258 306 330 348 356 368	102162997842
TPT(14)	2756850383379224729	0 2 48 50 210 212 240 242 252 254 282 284 288 290	383928522390
TPT(14)	2756850502051354991	0 2 6 8 36 38 60 62 78 80 216 218 228 230	502600652652
SPT(16)	2756850719250660493	0 6 24 40 54 60 70 76 234 240 250 256 270 286 304 310	719799958154
SPT(16)	2756850729474174353	0 14 18 38 44 54 86 96 128 138 170 180 186 206 210 224	730023472014