Prime p₀= 67068022831880069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: emoga
db: batch=67, k=10, 2 16 2 10 2

SPT(14)	67067952982604747	0 6 12 26 32 50 56 60 66 84 90 104 110 116	-69849275322
SPT(14)	67067959218912023	0 8 54 56 66 74 80 114 120 128 138 140 186 194	-63612968046
SPT(14)	67067963297695721	0 6 8 60 78 92 102 116 126 140 158 210 212 218	-59534184348
SPT(14)	67067971947448231	0 18 40 70 106 148 156 172 180 222 258 288 310 328	-50884431838
SPT(14)	67067987084614717	0 4 42 60 66 90 94 102 106 130 136 154 192 196	-35747265352
SPT(14)	67068019391701697	0 6 14 36 42 50 54 62 66 74 80 102 110 116	-3440178372
SPT(14)	67068028223027017	0 6 46 70 96 106 120 172 186 196 222 246 286 292	5391146948
SPT(14)	67068030141780259	0 18 48 54 60 72 100 102 130 142 148 154 184 202	7309900190
SPT(14)	67068034385308321	0 16 18 28 36 72 102 106 136 172 180 190 192 208	11553428252
SPT(14)	67068035288369617	0 12 22 34 42 60 76 90 106 124 132 144 154 166	12456489548
TPT(12)	67068040980513359	0 2 78 80 90 92 120 122 330 332 360 362	18148633290