Prime p₀= 3030405353558551427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Conan
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	3030403909374568721	0 2 36 38 78 80 120 122 156 158	-1444183982706
STPT(10)	3030404417447789279	0 2 18 20 30 32 42 44 60 62	-936110762148
TPT(16)	3030404463902695109	0 2 60 62 138 140 150 152 198 200 222 224 480 482 570 572	-889655856318
STPT(10)	3030404475031345439	0 2 18 20 30 32 42 44 60 62	-878527205988
STPT(10)	3030404772745889081	0 2 6 8 48 50 90 92 96 98	-580812662346
STPT(10)	3030405245913566501	0 2 30 32 78 80 126 128 156 158	-107644984926
SPT(16)	3030405459269284729	0 12 52 54 58 84 94 120 142 168 178 204 208 210 250 262	105710733302
STPT(10)	3030405737912640851	0 2 30 32 78 80 126 128 156 158	384354089424
STPT(10)	3030406073946634037	0 2 30 32 72 74 114 116 144 146	720388082610
STPT(10)	3030406612130245877	0 2 12 14 42 44 72 74 84 86	1258571694450
STPT(10)	3030406734449242781	0 2 6 8 48 50 90 92 96 98	1380890691354