Prime p₀= 1016267951160296713 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 10 14 10 8 42 30 4 30 42 8 10 14 10 6 (?)
a_n: 0 6 16 30 40 48 90 120 124 154 196 204 214 228 238 244
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 244
Found by: stoneageman
db: batch=76, k=16, 6 10 14 10 8 42 30 4

SPT(16)	1016267140446620281	0 6 22 36 48 58 60 70 108 118 120 130 142 156 172 178	-810713676432
SPT(16)	1016267264531648453	0 18 30 38 78 84 86 126 158 198 200 206 246 254 266 284	-686628648260
SPT(16)	1016267475116722183	0 36 40 54 66 78 88 94 180 186 196 208 220 234 238 274	-476043574530
STPT(10)	1016267585686667159	0 2 18 20 30 32 42 44 60 62	-365473629554
TPT(14)	1016267631209331287	0 2 42 44 54 56 90 92 132 134 174 176 252 254	-319950965426
STPT(10)	1016267700162473789	0 2 18 20 30 32 42 44 60 62	-250997822924
SPT(16)	1016267964440242021	0 18 70 78 100 120 132 162 238 268 280 300 322 330 382 400	13279945308
SPT(16)	1016268649905169769	0 8 50 122 150 164 174 188 234 248 258 272 300 372 414 422	698744873056
TPT(14)	1016268763852395629	0 2 42 44 78 80 90 92 102 104 168 170 240 242	812692098916
STPT(10)	1016268965317764209	0 2 18 20 60 62 102 104 120 122	1014157467496
STPT(10)	1016268994120083797	0 2 30 32 60 62 90 92 120 122	1042959787084