Prime p₀= 34627683519070529 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 4 14 22 30 14 40 14 30 22 14 4 20 (?)
a_n: 0 20 24 38 60 90 104 144 158 188 210 224 228 248
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: 248
Found by: ChelseaOilman
db: batch=65, k=14, 20 4 14 22 30 14 40

SPT(14)	34627609389864343	0 10 40 54 84 118 130 264 276 310 340 354 384 394	-74129206186
SPT(14)	34627620788520821	0 18 32 50 62 78 80 120 122 138 150 168 182 200	-62730549708
TPT(12)	34627623319507157	0 2 60 62 84 86 102 104 144 146 162 164	-60199563372
SPT(14)	34627634220323129	0 12 14 30 38 72 84 98 110 144 152 168 170 182	-49298747400
SPT(14)	34627655382187451	0 8 20 56 72 78 96 122 140 146 162 198 210 218	-28136883078
SPT(14)	34627663386590041	0 40 42 102 118 180 192 238 250 312 328 388 390 430	-20132480488
SPT(16)	34627684832021549	0 20 38 42 60 108 120 162 170 212 224 272 290 294 312 332	1312951020
SPT(14)	34627692381484369	0 30 34 48 52 60 100 102 142 150 154 168 172 202	8862413840
STPT(10)	34627698941180069	0 2 48 50 90 92 132 134 180 182	15422109540
SPT(14)	34627700443186001	0 90 138 152 156 180 188 210 218 242 246 260 308 398	16924115472
SPT(14)	34627712303000953	0 10 28 36 70 76 90 94 108 114 148 156 174 184	28783930424