Prime p₀= 70780486327371019 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 4 8 22 18 2 64 2 18 22 8 4 30 (?)
a_n: 0 30 34 42 64 82 84 148 150 168 190 198 202 232
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: emoga
db: batch=67, k=14, 30 4 8 22 18 2 64

SPT(16)	70780439171601791	0 2 30 38 140 150 168 228 230 290 308 318 420 428 456 458	-47155769228
SPT(14)	70780456408753517	0 74 90 114 126 132 144 152 164 170 182 206 222 296	-29918617502
SPT(16)	70780460672404921	0 16 40 48 142 190 196 198 250 252 258 306 400 408 432 448	-25654966098
SPT(14)	70780463483288539	0 40 54 58 84 94 144 148 198 208 234 238 252 292	-22844082480
TPT(12)	70780477531296941	0 2 18 20 36 38 78 80 126 128 156 158	-8796074078
SPT(14)	70780482089533427	0 50 102 120 122 126 156 170 200 204 206 224 276 326	-4237837592
TPT(12)	70780493851142399	0 2 30 32 60 62 78 80 102 104 132 134	7523771380
SPT(14)	70780500116335967	0 20 74 80 140 144 170 210 236 240 300 306 360 380	13788964948
TPT(12)	70780513550538191	0 2 30 32 78 80 156 158 246 248 288 290	27223167172
SPT(14)	70780514041094761	0 12 16 40 60 70 88 150 168 178 198 222 226 238	27713723742
SPT(14)	70780516601327087	0 14 42 44 74 80 92 114 126 132 162 164 192 206	30273956068