Prime p₀= 2223905021686260431 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: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2223903292248152839	0 52 100 108 162 192 232 234 328 330 370 400 454 462 510 562	-1729438107592
STPT(10)	2223903434856072881	0 2 6 8 18 20 30 32 36 38	-1586830187550
TPT(14)	2223903860297109299	0 2 12 14 72 74 108 110 150 152 168 170 192 194	-1161389151132
STPT(10)	2223904104804340457	0 2 90 92 102 104 114 116 204 206	-916881919974
STPT(10)	2223904129603848449	0 2 18 20 30 32 42 44 60 62	-892082411982
SPT(16)	2223904564876549691	0 38 42 68 80 86 92 96 152 156 162 168 180 206 210 248	-456809710740
SPT(16)	2223905173499347837	0 4 10 16 36 42 64 66 70 72 94 100 120 126 132 136	151813087406
STPT(10)	2223905646896007257	0 2 30 32 42 44 54 56 84 86	625209746826
SPT(16)	2223906068705415431	0 2 8 38 86 122 126 128 150 152 156 192 240 270 276 278	1047019155000
STPT(10)	2223906313313118527	0 2 30 32 60 62 90 92 120 122	1291626858096
TPT(14)	2223906778133605319	0 2 18 20 30 32 42 44 102 104 108 110 198 200	1756447344888