Prime p₀= 2401377377093018897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2401376195833761437	0 2 12 14 30 32 42 44 132 134 174 176 210 212	-1181259257460
SPT(16)	2401376332983007291	0 10 30 46 58 66 72 88 90 106 112 120 132 148 168 178	-1044110011606
TPT(14)	2401376380506050219	0 2 18 20 42 44 60 62 150 152 198 200 282 284	-996586968678
STPT(10)	2401376843100158681	0 2 6 8 18 20 30 32 36 38	-533992860216
STPT(10)	2401377070097174159	0 2 48 50 90 92 132 134 180 182	-306995844738
STPT(10)	2401377220775806421	0 2 36 38 78 80 120 122 156 158	-156317212476
SPT(16)	2401377653449385239	0 12 52 82 100 102 132 154 198 220 250 252 270 300 340 352	276356366342
SPT(16)	2401377691310421401	0 2 48 78 92 116 120 156 272 308 312 336 350 380 426 428	314217402504
STPT(10)	2401377948645198737	0 2 30 32 42 44 54 56 84 86	571552179840
STPT(10)	2401378218694253801	0 2 30 32 60 62 90 92 120 122	841601234904
TPT(14)	2401378452328193969	0 2 12 14 120 122 138 140 288 290 360 362 408 410	1075235175072