Prime p₀= 803116917889113797 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: Vitalii Koshura
db: batch=73, k=10, 2 10 2 58 2

SPT(16)	803116156362729281	0 20 42 56 66 98 116 156 242 282 300 332 342 356 378 398	-761526384516
SPT(16)	803116469347989457	0 12 30 36 42 66 72 82 150 160 166 190 196 202 220 232	-448541124340
SPT(16)	803116724098545053	0 30 44 54 80 96 134 176 228 270 308 324 350 360 374 404	-193790568744
SPT(16)	803116730705964379	0 18 22 24 48 60 78 82 90 94 112 124 148 150 154 172	-187183149418
STPT(10)	803116845408350909	0 2 42 44 60 62 78 80 120 122	-72480762888
STPT(10)	803116854894639809	0 2 18 20 30 32 42 44 60 62	-62994473988
TPT(14)	803117136087261857	0 2 24 26 114 116 120 122 180 182 330 332 492 494	218198148060
SPT(16)	803117604917816191	0 16 40 48 58 66 82 160 198 276 292 300 310 318 342 358	687028702394
STPT(10)	803117758982994149	0 2 30 32 60 62 90 92 120 122	841093880352
SPT(16)	803117822485206727	0 4 6 46 64 70 130 156 160 186 246 252 270 310 312 316	904596092930
STPT(10)	803118095826936179	0 2 42 44 90 92 138 140 180 182	1177937822382