Prime p₀= 4387491826470722621 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]KidDoesCrunch
db: batch=85, k=10, 2 34 2 40 2

STPT(10)	4387489835860986857	0 2 30 32 60 62 90 92 120 122	-1990609735764
SPT(16)	4387490351567961149	0 30 32 54 144 152 168 194 198 224 240 248 338 360 362 392	-1474902761472
SPT(16)	4387490386872167483	0 44 156 230 254 296 338 350 354 366 408 450 474 548 660 704	-1439598555138
STPT(10)	4387491213530542727	0 2 30 32 42 44 54 56 84 86	-612940179894
TPT(14)	4387491581589465119	0 2 78 80 108 110 210 212 222 224 402 404 432 434	-244881257502
SPT(16)	4387491617569924313	0 14 50 80 86 98 150 176 288 314 366 378 384 414 450 464	-208900798308
SPT(16)	4387492601760806609	0 14 24 60 84 92 108 140 162 194 210 218 242 278 288 302	775290083988
SPT(16)	4387492683703462279	0 18 52 60 102 118 240 304 378 442 564 580 622 630 664 682	857232739658
SPT(16)	4387492941229814371	0 28 42 46 82 120 130 132 196 198 208 246 282 286 300 328	1114759091750
STPT(10)	4387493328963251987	0 2 30 32 42 44 54 56 84 86	1502492529366
STPT(10)	4387493511181610507	0 2 12 14 42 44 72 74 84 86	1684710887886