Prime p₀= 2905589829718684991 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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2905588472675117027	0 12 32 66 84 116 164 182 204 222 270 302 320 354 374 386	-1357043567964
STPT(10)	2905588572512681591	0 2 6 8 48 50 90 92 96 98	-1257206003400
SPT(16)	2905589179988662129	0 4 18 30 58 70 120 154 204 238 288 300 328 340 354 358	-649730022862
STPT(10)	2905589279213969111	0 2 30 32 78 80 126 128 156 158	-550504715880
TPT(14)	2905589478797317889	0 2 12 14 150 152 288 290 420 422 432 434 462 464	-350921367102
SPT(16)	2905589740905819557	0 30 36 56 66 104 126 146 150 170 192 230 240 260 266 296	-88812865434
SPT(16)	2905589957892690011	0 6 20 30 42 60 80 86 102 108 128 146 158 168 182 188	128174005020
STPT(10)	2905590034871281871	0 2 36 38 78 80 120 122 156 158	205152596880
STPT(10)	2905590135243785147	0 2 54 56 72 74 90 92 144 146	305525100156
SPT(16)	2905591037029285427	0 20 50 102 104 144 146 174 182 210 212 252 254 306 336 356	1207310600436
STPT(10)	2905591234993624547	0 2 30 32 42 44 54 56 84 86	1405274939556