Prime p₀= 2678611889326592249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2678610648237283807	0 10 36 60 66 82 106 112 120 126 150 166 172 196 222 232	-1241089308442
STPT(10)	2678610811025895041	0 2 6 8 18 20 30 32 36 38	-1078300697208
STPT(10)	2678610823731993947	0 2 30 32 42 44 54 56 84 86	-1065594598302
SPT(16)	2678611118014000249	0 22 28 34 112 138 168 174 238 244 274 300 378 384 390 412	-771312592000
STPT(10)	2678611227320667137	0 2 30 32 72 74 114 116 144 146	-662005925112
TPT(16)	2678611286677118519	0 2 18 20 108 110 150 152 192 194 270 272 282 284 312 314	-602649473730
SPT(16)	2678611897057546759	0 4 30 64 72 100 124 130 162 168 192 220 228 262 288 292	7730954510
SPT(16)	2678611930255311823	0 58 64 76 100 106 108 114 160 166 168 174 198 210 216 274	40928719574
STPT(10)	2678612470431545117	0 2 30 32 42 44 54 56 84 86	581104952868
SPT(16)	2678612503677423611	0 20 30 36 50 56 62 78 110 126 132 138 152 158 168 188	614350831362
STPT(10)	2678612853123289499	0 2 18 20 30 32 42 44 60 62	963796697250