Prime p₀= 2499973976164205909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2499972066705188567	0 30 32 42 44 114 144 170 246 272 302 372 374 384 386 416	-1909459017342
STPT(10)	2499972410497812071	0 2 6 8 48 50 90 92 96 98	-1565666393838
SPT(16)	2499972864514376593	0 24 34 40 94 96 130 210 310 390 424 426 480 486 496 520	-1111649829316
STPT(10)	2499972978339232337	0 2 30 32 42 44 54 56 84 86	-997824973572
STPT(10)	2499973008960097841	0 2 30 32 78 80 126 128 156 158	-967204108068
STPT(12)	2499973452643331387	0 2 30 32 72 74 90 92 132 134 162 164	-523520874522
SPT(16)	2499973984112794613	0 6 20 36 50 84 116 120 140 144 176 210 224 240 254 260	7948588704
SPT(16)	2499974284566210329	0 14 38 48 54 108 122 132 140 150 164 218 224 234 258 272	308402004420
STPT(10)	2499974475980621579	0 2 18 20 30 32 42 44 60 62	499816415670
STPT(10)	2499974609510887877	0 2 30 32 42 44 54 56 84 86	633346681968
STPT(10)	2499974998477978949	0 2 12 14 90 92 168 170 180 182	1022313773040