Prime p₀= 27648817719303379 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 40 26 4 12 14 4 14 12 4 26 40 18 (?)
a_n: 0 18 58 84 88 100 114 118 132 144 148 174 214 232
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: 232
Found by: UBT - Timbo
db: batch=65, k=14, 18 40 26 4 12 14 4

SPT(14)	27648778754793019	0 10 18 22 42 54 70 102 118 130 150 154 162 172	-38964510360
TPT(12)	27648779686907369	0 2 18 20 42 44 72 74 90 92 168 170	-38032396010
SPT(14)	27648797321284831	0 6 18 28 30 46 82 186 222 238 240 250 262 268	-20398018548
TPT(12)	27648809975403647	0 2 30 32 42 44 90 92 114 116 174 176	-7743899732
TPT(12)	27648812114539661	0 2 36 38 66 68 78 80 90 92 180 182	-5604763718
SPT(14)	27648816959504131	0 40 70 72 100 102 112 228 238 240 268 270 300 340	-759799248
SPT(14)	27648820245745837	0 24 36 40 46 66 106 150 190 210 216 220 232 256	2526442458
SPT(14)	27648829267398307	0 12 22 30 42 72 90 106 124 154 166 174 184 196	11548094928
SPT(14)	27648832468718509	0 60 72 102 112 114 124 198 208 210 220 250 262 322	14749415130
SPT(14)	27648842003088863	0 20 56 86 96 138 140 144 146 188 198 228 264 284	24283785484
SPT(14)	27648846962046803	0 26 30 56 84 150 180 194 224 290 318 344 348 374	29242743424