Prime p₀= 774180722408681657 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: schensi
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	774180040908509311	0 10 60 72 82 96 112 118 150 156 172 186 196 208 258 268	-681500172346
STPT(10)	774180048610498709	0 2 48 50 90 92 132 134 180 182	-673798182948
SPT(16)	774180082847710753	0 30 36 54 90 96 118 154 210 246 268 274 310 328 334 364	-639560970904
STPT(10)	774180295389270821	0 2 6 8 18 20 30 32 36 38	-427019410836
SPT(16)	774180529389053161	0 6 16 18 46 58 90 148 168 226 258 270 298 300 310 316	-193019628496
STPT(10)	774180594202226969	0 2 18 20 30 32 42 44 60 62	-128206454688
SPT(22)	774180896721353117	0 42 44 90 126 164 174 240 266 272 276 380 384 390 416 482 492 530 566 612 614 656	174312671460
TPT(14)	774181047191338229	0 2 18 20 78 80 132 134 198 200 282 284 378 380	324782656572
STPT(12)	774181082147604557	0 2 24 26 114 116 180 182 270 272 294 296	359738922900
STPT(10)	774181162607017589	0 2 48 50 90 92 132 134 180 182	440198335932
STPT(10)	774181225418600969	0 2 12 14 30 32 48 50 60 62	503009919312