Prime p₀= 1235043684422193167 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: MarkRBright
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1235042093065709879	0 2 18 20 30 32 42 44 60 62	-1591356483288
STPT(10)	1235042200682903057	0 2 30 32 42 44 54 56 84 86	-1483739290110
STPT(10)	1235042853902592737	0 2 30 32 60 62 90 92 120 122	-830519600430
SPT(16)	1235043088420325519	0 14 32 60 80 102 110 122 132 144 152 174 194 222 240 254	-596001867648
SPT(16)	1235043218487021743	0 60 66 90 104 108 116 128 186 198 206 210 224 248 254 314	-465935171424
SPT(16)	1235043222765371471	0 2 8 20 30 36 90 96 212 218 272 278 288 300 306 308	-461656821696
TPT(14)	1235043684422193167	0 2 30 32 42 44 54 56 84 86 132 134 144 146	0
SPT(16)	1235044111722560257	0 24 30 52 66 166 196 214 222 240 270 370 384 406 412 436	427300367090
STPT(12)	1235044115885005997	0 2 30 32 42 44 60 62 72 74 102 104	431462812830
STPT(10)	1235044142039938091	0 2 36 38 78 80 120 122 156 158	457617744924
STPT(10)	1235044155124663337	0 2 24 26 42 44 60 62 84 86	470702470170