Prime p₀= 2217781074455210021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2217779619771787859	0 2 32 50 68 78 102 134 138 170 194 204 222 240 270 272	-1454683422162
SPT(16)	2217779930481854927	0 14 26 44 62 80 90 96 140 146 156 174 192 210 222 236	-1143973355094
SPT(16)	2217780121369856479	0 10 18 42 72 88 94 118 144 168 174 190 220 244 252 262	-953085353542
SPT(16)	2217780429978146749	0 42 48 58 130 132 154 178 234 258 280 282 354 364 370 412	-644477063272
STPT(10)	2217780743362982867	0 2 24 26 42 44 60 62 84 86	-331092227154
SPT(16)	2217780848270181529	0 10 54 84 88 100 112 144 208 240 252 264 268 298 342 352	-226185028492
SPT(16)	2217781136368080659	0 138 168 224 258 270 314 320 348 354 398 410 444 500 530 668	61912870638
STPT(10)	2217781381740144287	0 2 60 62 72 74 84 86 144 146	307284934266
SPT(16)	2217781693533752251	0 22 28 42 58 76 112 120 148 156 192 210 226 240 246 268	619078542230
SPT(16)	2217782015264548433	0 8 56 60 68 98 110 138 158 186 198 228 236 240 288 296	940809338412
STPT(10)	2217782193718806467	0 2 30 32 42 44 54 56 84 86	1119263596446