Prime p₀= 2950504661132025461 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: Landjunge
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2950502444076491041	0 6 48 66 72 82 108 136 282 310 336 346 352 370 412 418	-2217055534420
STPT(10)	2950502476689175691	0 2 6 8 48 50 90 92 96 98	-2184442849770
TPT(16)	2950502726206492139	0 2 60 62 72 74 132 134 210 212 258 260 438 440 462 464	-1934925533322
STPT(10)	2950503619027053359	0 2 48 50 90 92 132 134 180 182	-1042104972102
STPT(10)	2950504172770765439	0 2 12 14 90 92 168 170 180 182	-488361260022
SPT(16)	2950504305814809089	0 8 12 90 108 114 132 150 152 170 188 194 212 290 294 302	-355317216372
SPT(16)	2950505099607292847	0 20 60 90 104 132 152 174 182 204 224 252 266 296 336 356	438475267386
TPT(14)	2950505180698953347	0 2 72 74 120 122 150 152 162 164 240 242 264 266	519566927886
STPT(10)	2950505451191649047	0 2 30 32 72 74 114 116 144 146	790059623586
STPT(10)	2950506026666801039	0 2 48 50 90 92 132 134 180 182	1365534775578
STPT(10)	2950506314610606119	0 2 18 20 30 32 42 44 60 62	1653478580658