Prime p₀= 2999813089931468519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2999811507272643181	0 40 42 66 70 72 88 132 136 180 196 198 202 226 228 268	-1582658825338
STPT(10)	2999811963075347867	0 2 42 44 72 74 102 104 144 146	-1126856120652
SPT(16)	2999811972744918271	0 6 10 52 78 96 106 120 208 222 232 250 276 318 322 328	-1117186550248
TPT(14)	2999812246557597011	0 2 6 8 78 80 126 128 228 230 258 260 288 290	-843373871508
SPT(16)	2999812286401856117	0 12 36 44 54 90 96 114 152 170 176 212 222 230 254 266	-803529612402
SPT(16)	2999813069179258793	0 26 38 74 80 108 138 174 200 236 266 294 300 336 348 374	-20752209726
STPT(10)	2999813584218546257	0 2 30 32 42 44 54 56 84 86	494287077738
SPT(16)	2999813738744553697	0 46 52 154 162 186 196 204 262 270 280 304 312 414 420 466	648813085178
SPT(16)	2999813808574773349	0 12 22 40 52 54 84 90 112 118 148 150 162 180 190 202	718643304830
TPT(14)	2999814411440409971	0 2 36 38 48 50 78 80 126 128 156 158 258 260	1321508941452
STPT(10)	2999814578367894269	0 2 12 14 90 92 168 170 180 182	1488436425750