Prime p₀= 786461013230300201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: paulteo
db: batch=73, k=10, 2 64 2 70 2

SPT(16)	786460083512922347	0 6 86 96 114 174 180 200 240 260 266 326 344 354 434 440	-929717377854
SPT(16)	786460177669299377	0 26 56 90 96 116 144 156 170 182 210 230 236 270 300 326	-835561000824
SPT(16)	786460276042985953	0 24 30 66 126 154 156 180 220 244 246 274 334 370 376 400	-737187314248
SPT(16)	786460312844568071	0 2 8 56 66 78 86 98 120 132 140 152 162 210 216 218	-700385732130
SPT(20)	786460912153699459	0 28 42 70 112 154 162 250 288 300 322 334 372 460 468 510 552 580 594 622	-101076600742
STPT(10)	786460951162880027	0 2 60 62 72 74 84 86 144 146	-62067420174
STPT(10)	786461070463744199	0 2 18 20 30 32 42 44 60 62	57233443998
SPT(16)	786461275676116751	0 18 36 42 96 102 110 126 152 168 176 182 236 242 260 278	262445816550
SPT(16)	786461353216692061	0 12 16 30 60 72 82 96 226 240 250 262 292 306 310 322	339986391860
STPT(10)	786461373296221289	0 2 18 20 60 62 102 104 120 122	360065921088
TPT(14)	786461491070836379	0 2 12 14 78 80 108 110 138 140 168 170 282 284	477840536178