Prime p₀= 3651054898296829 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 24 6 26 28 18 2 18 28 26 6 24 28 (?)
a_n: 0 28 52 58 84 112 130 132 150 178 204 210 234 262
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
Found by: crashtech
db: batch=61, k=14, 28 24 6 26 28 18 2

SPT(14)	3651023827187579	0 8 30 104 108 120 140 198 218 230 234 308 330 338	-31071109250
SPT(14)	3651028847447897	0 14 62 90 114 132 144 170 182 200 224 252 300 314	-26050848932
TPT(12)	3651030655130861	0 2 6 8 60 62 78 80 120 122 156 158	-24243165968
SPT(14)	3651040070991947	0 32 44 54 72 86 156 170 240 254 272 282 294 326	-14827304882
SPT(14)	3651049197822947	0 6 30 44 56 90 96 104 110 144 156 170 194 200	-5700473882
SPT(14)	3651051621524521	0 22 60 78 82 88 102 166 180 186 190 208 246 268	-3276772308
SPT(14)	3651058299702409	0 22 150 190 192 204 232 252 280 292 294 334 462 484	3401405580
SPT(14)	3651068326267543	0 30 34 46 88 108 150 244 286 306 348 360 364 394	13427970714
SPT(14)	3651069735663293	0 20 26 38 60 66 80 84 98 104 126 138 144 164	14837366464
SPT(14)	3651075130600561	0 16 30 46 60 100 108 178 186 226 240 256 270 286	20232303732
SPT(14)	3651075509655319	0 4 18 40 48 54 84 88 118 124 132 154 168 172	20611358490