Prime p₀= 1167108431110523651 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: Laurent Cheylat
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1167107160881113819	0 22 24 72 90 142 162 174 178 190 210 262 280 328 330 352	-1270229409832
STPT(10)	1167107277023665487	0 2 42 44 72 74 102 104 144 146	-1154086858164
STPT(12)	1167107549299434527	0 2 12 14 24 26 30 32 42 44 54 56	-881811089124
STPT(10)	1167107686028358671	0 2 36 38 78 80 120 122 156 158	-745082164980
SPT(16)	1167107823969497129	0 24 44 98 104 110 152 174 188 210 252 258 264 318 338 362	-607141026522
STPT(10)	1167108332575545959	0 2 18 20 30 32 42 44 60 62	-98534977692
STPT(10)	1167108470508622001	0 2 6 8 48 50 90 92 96 98	39398098350
SPT(16)	1167108493779695759	0 12 24 42 48 50 54 78 194 218 222 224 230 248 260 272	62669172108
SPT(16)	1167108509501575297	0 4 10 46 52 60 94 100 126 132 166 174 180 216 222 226	78391051646
STPT(10)	1167108994885848407	0 2 30 32 42 44 54 56 84 86	563775324756
SPT(16)	1167109035292893181	0 10 16 46 60 66 76 100 102 126 136 142 156 186 192 202	604182369530