Prime p₀= 1291121378988911579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: mikey
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1291119731284607111	0 42 66 72 86 132 156 158 180 182 206 252 266 272 296 338	-1647704304468
SPT(16)	1291119771553688927	0 12 14 26 36 92 120 132 224 236 264 320 330 342 344 356	-1607435222652
SPT(16)	1291119881079759271	0 22 28 48 72 102 118 132 256 270 286 316 340 360 366 388	-1497909152308
SPT(16)	1291120805388053573	0 14 38 66 84 98 138 150 194 206 246 260 278 306 330 344	-573600858006
SPT(16)	1291121082846713369	0 18 20 54 80 98 102 104 108 110 114 132 158 192 194 212	-296142198210
STPT(10)	1291121321778262571	0 2 36 38 78 80 120 122 156 158	-57210649008
SPT(16)	1291121593036520381	0 2 42 50 68 78 80 108 140 168 170 180 198 206 246 248	214047608802
SPT(16)	1291121672041837117	0 4 54 76 84 94 136 172 174 210 252 262 270 292 342 346	293052925538
STPT(10)	1291121709392718941	0 2 48 50 108 110 168 170 216 218	330403807362
STPT(10)	1291121791322763479	0 2 48 50 60 62 72 74 120 122	412333851900
STPT(10)	1291121799485095379	0 2 42 44 90 92 138 140 180 182	420496183800