Prime p₀= 1123429788541128317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1123428073743078109	0 24 30 52 70 112 114 132 160 178 180 222 240 262 268 292	-1714798050208
SPT(16)	1123428254681083829	0 60 90 92 102 122 144 164 168 188 210 230 240 242 272 332	-1533860044488
STPT(10)	1123429029864761687	0 2 60 62 72 74 84 86 144 146	-758676366630
SPT(16)	1123429073999417329	0 22 42 58 72 78 88 100 102 114 124 130 144 160 180 202	-714541710988
STPT(10)	1123429510863839951	0 2 30 32 78 80 126 128 156 158	-277677288366
SPT(16)	1123429644648063169	0 30 70 118 120 132 148 172 228 252 268 280 282 330 370 400	-143893065148
SPT(16)	1123429882554165013	0 24 60 64 84 106 126 136 144 154 174 196 216 220 256 280	94013036696
TPT(14)	1123430251177654799	0 2 30 32 108 110 120 122 162 164 168 170 198 200	462636526482
STPT(10)	1123430723689778261	0 2 6 8 18 20 30 32 36 38	935148649944
SPT(16)	1123430739822642337	0 6 22 60 66 72 120 130 132 142 190 196 202 240 256 262	951281514020
SPT(16)	1123430838948301999	0 34 42 52 58 90 108 114 118 124 142 174 180 190 198 232	1050407173682