Prime p₀= 1467443766561896621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Spectrum
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1467442928136935447	0 20 42 54 96 102 146 152 174 180 224 230 272 284 306 326	-838424961174
SPT(13)	1467443283370814329	0 30 42 60 72 108 210 312 348 360 378 390 420	-483191082292
SPT(16)	1467443296854219029	0 14 20 24 48 74 80 114 134 168 174 200 224 228 234 248	-469707677592
STPT(10)	1467443446454822297	0 2 24 26 42 44 60 62 84 86	-320107074324
TPT(14)	1467443447794318061	0 2 18 20 60 62 90 92 138 140 198 200 270 272	-318767578560
SPT(16)	1467443676291258977	0 12 20 42 72 84 86 104 132 150 152 164 194 216 224 236	-90270637644
SPT(16)	1467444002597249587	0 10 40 66 102 130 154 192 214 252 276 304 340 366 396 406	236035352966
SPT(16)	1467444219632734771	0 18 28 30 112 162 168 178 240 250 256 306 388 390 400 418	453070838150
SPT(16)	1467444413567719123	0 76 106 148 166 298 306 336 340 370 378 510 528 570 600 676	647005822502
SPT(16)	1467444883797866431	0 40 58 72 82 118 132 142 216 226 240 276 286 300 318 358	1117235969810
SPT(16)	1467445051647746371	0 6 28 78 106 126 168 180 238 250 292 312 340 390 412 418	1285085849750