Prime p₀= 2345751570749176691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: JonS
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2345749952330454217	0 72 94 126 136 184 192 226 270 304 312 360 370 402 424 496	-1618418722474
STPT(10)	2345750107941260219	0 2 78 80 210 212 342 344 420 422	-1462807916472
STPT(10)	2345750177266409117	0 2 12 14 42 44 72 74 84 86	-1393482767574
SPT(16)	2345750656253639119	0 42 72 88 90 102 114 118 144 148 160 172 174 190 220 262	-914495537572
SPT(16)	2345751129735812021	0 48 60 90 132 146 152 158 210 216 222 236 278 308 320 368	-441013364670
SPT(16)	2345751478360161791	0 20 30 38 50 78 108 128 132 152 182 210 222 230 240 260	-92389014900
STPT(10)	2345751640916350127	0 2 24 26 42 44 60 62 84 86	70167173436
SPT(16)	2345751672281397461	0 20 42 90 110 116 132 180 182 230 246 252 272 320 342 362	101532220770
SPT(16)	2345751743500875383	0 44 50 78 176 230 254 258 326 330 354 408 506 534 540 584	172751698692
SPT(16)	2345752048321427371	0 6 16 106 108 112 118 126 142 150 156 160 162 252 262 268	477572250680
STPT(10)	2345752157027410667	0 2 30 32 42 44 54 56 84 86	586278233976