Prime p₀= 1025713574697541781 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: Spectrum
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1025711673758078627	0 14 24 102 126 132 146 152 264 270 284 290 314 392 402 416	-1900939463154
SPT(16)	1025712556721054171	0 50 72 78 138 180 198 210 230 242 260 302 362 368 390 440	-1017976487610
STPT(10)	1025712994826805821	0 2 6 8 48 50 90 92 96 98	-579870735960
STPT(10)	1025713022850342257	0 2 30 32 72 74 114 116 144 146	-551847199524
TPT(14)	1025713414536942827	0 2 132 134 192 194 210 212 234 236 252 254 300 302	-160160598954
SPT(16)	1025713508640060091	0 10 12 36 66 82 112 148 150 186 216 232 262 286 288 298	-66057481690
SPT(16)	1025713683390417809	0 8 54 78 98 134 188 194 198 204 258 294 314 338 384 392	108692876028
STPT(10)	1025714069705510957	0 2 30 32 72 74 114 116 144 146	495007969176
SPT(16)	1025714156807742331	0 70 72 88 118 130 132 138 160 166 168 180 210 226 228 298	582110200550
STPT(10)	1025714175023841227	0 2 12 14 42 44 72 74 84 86	600326299446
TPT(14)	1025714497023819971	0 2 96 98 156 158 198 200 216 218 300 302 366 368	922326278190