Prime p₀= 2864504518868225657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2864502428859414307	0 4 6 46 54 72 84 94 132 142 154 172 180 220 222 226	-2090008811350
STPT(10)	2864502955616456381	0 2 78 80 108 110 138 140 216 218	-1563251769276
SPT(16)	2864503804513917353	0 14 54 60 78 98 110 194 204 288 300 320 338 344 384 398	-714354308304
STPT(10)	2864503927064746667	0 2 30 32 42 44 54 56 84 86	-591803478990
SPT(16)	2864504242685729717	0 30 54 56 86 126 192 212 234 254 320 360 390 392 416 446	-276182495940
SPT(16)	2864504493344586437	0 14 86 114 122 164 204 206 210 212 252 294 302 330 402 416	-25523639220
STPT(12)	2864504631852672197	0 2 42 44 72 74 102 104 132 134 174 176	112984446540
SPT(16)	2864504708090789171	0 20 30 36 42 48 78 102 146 170 200 206 212 218 228 248	189222563514
STPT(10)	2864505086444074427	0 2 12 14 72 74 132 134 144 146	567575848770
SPT(16)	2864505320664734239	0 30 42 48 58 64 78 94 138 154 168 174 184 190 202 232	801796508582
SPT(16)	2864505462974436233	0 8 18 30 38 50 78 96 98 116 144 156 164 176 186 194	944106210576