Prime p₀= 1967244301664569127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	1967243566939366757	0 6 30 42 66 104 126 132 164 170 192 230 254 266 290 296	-734725202370
SPT(16)	1967243673354142961	0 30 72 78 86 138 140 152 186 198 200 252 260 266 308 338	-628310426166
STPT(10)	1967243742332135591	0 2 36 38 78 80 120 122 156 158	-559332433536
SPT(16)	1967243771069030261	0 36 86 98 120 122 146 168 170 192 216 218 240 252 302 338	-530595538866
STPT(10)	1967243904076456541	0 2 6 8 48 50 90 92 96 98	-397588112586
STPT(10)	1967244112796982287	0 2 72 74 102 104 132 134 204 206	-188867586840
SPT(16)	1967244343573508059	0 42 54 78 82 84 112 142 180 210 238 240 244 268 280 322	41908938932
STPT(10)	1967244645191271539	0 2 18 20 30 32 42 44 60 62	343526702412
SPT(16)	1967244759894967667	0 14 20 24 132 164 182 206 300 324 342 374 482 486 492 506	458230398540
SPT(18)	1967245091625315191	0 2 26 32 78 98 140 152 162 176 186 198 240 260 306 312 336 338	789960746064
SPT(16)	1967245656792199783	0 10 16 30 46 70 90 108 136 154 174 198 214 228 234 244	1355127630656