Prime p₀= 3650815033288369 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 8 72 16 14 54 46 54 14 16 72 8 34 (?)
a_n: 0 34 42 114 130 144 198 244 298 312 328 400 408 442
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: 442
Found by: crashtech
db: batch=61, k=14, 34 8 72 16 14 54 46

SPT(16)	3650787643056133	0 16 48 60 66 130 144 178 216 250 264 328 334 346 378 394	-27390232236
SPT(14)	3650787747528217	0 30 52 66 70 106 126 130 150 186 190 204 226 256	-27285760152
SPT(14)	3650788970583397	0 12 30 52 54 76 82 84 90 112 114 136 154 166	-26062704972
SPT(14)	3650799297617327	0 30 42 44 56 62 86 120 144 150 162 164 176 206	-15735671042
SPT(14)	3650803065469139	0 38 42 90 110 138 144 188 194 222 242 290 294 332	-11967819230
SPT(14)	3650813154354269	0 8 72 74 78 92 114 128 150 164 168 170 234 242	-1878934100
SPT(14)	3650829193706069	0 18 42 60 78 114 128 174 188 224 242 260 284 302	14160417700
STPT(10)	3650829231978791	0 2 30 32 78 80 126 128 156 158	14198690422
TPT(14)	3650832098848349	0 2 60 62 72 74 120 122 132 134 228 230 240 242	17065559980
SPT(14)	3650841643245439	0 4 18 24 112 114 172 180 238 240 328 334 348 352	26609957070
SPT(14)	3650851254887567	0 24 26 66 84 86 96 164 174 176 194 234 236 260	36221599198