Prime p₀= 2317238364349473977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: wadesworld18
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2317236482402439053	0 8 56 60 78 110 126 140 156 170 186 218 236 240 288 296	-1881947034924
STPT(10)	2317236521103445691	0 2 36 38 78 80 120 122 156 158	-1843246028286
SPT(16)	2317236541654083811	0 12 28 48 72 88 108 150 160 202 222 238 262 282 298 310	-1822695390166
SPT(16)	2317236825256163089	0 24 28 70 94 114 118 132 160 174 178 198 222 264 268 292	-1539093310888
SPT(16)	2317236901223311807	0 60 120 186 204 214 276 322 354 400 462 472 490 556 616 676	-1463126162170
SPT(16)	2317237601229942389	0 50 74 78 84 110 120 150 152 182 192 218 224 228 252 302	-763119531588
SPT(16)	2317238388994738873	0 54 60 118 124 130 160 180 208 228 258 264 270 328 334 388	24645264896
TPT(14)	2317238678299737131	0 2 30 32 36 38 60 62 78 80 198 200 288 290	313950263154
STPT(10)	2317238703606520667	0 2 30 32 42 44 54 56 84 86	339257046690
SPT(16)	2317238926717705829	0 12 14 18 48 54 60 68 144 152 158 164 194 198 200 212	562368231852
STPT(10)	2317239448678087667	0 2 30 32 42 44 54 56 84 86	1084328613690