Prime p₀= 179014367649993023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 42 12 58 18 14 10 8 10 14 18 58 12 42 14 (?)
a_n: 0 14 56 68 126 144 158 168 176 186 200 218 276 288 330 344
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: emoga
db: batch=67, k=16, 14 42 12 58 18 14 10 8

SPT(14)	179014327197726841	0 22 42 60 88 106 108 190 192 210 238 256 276 298	-40452266182
SPT(14)	179014327296611861	0 8 42 90 126 146 150 218 222 242 278 326 360 368	-40353381162
SPT(14)	179014328142443503	0 6 10 34 66 78 108 166 196 208 240 264 268 274	-39507549520
SPT(14)	179014340852596591	0 6 40 66 88 108 132 136 160 180 202 228 262 268	-26797396432
SPT(14)	179014341250650371	0 6 26 30 98 140 170 198 228 270 338 342 362 368	-26399342652
SPT(14)	179014351446926287	0 12 22 42 66 204 222 274 292 430 454 474 484 496	-16203066736
TPT(12)	179014384678363061	0 2 36 38 48 50 78 80 126 128 240 242	17028370038
SPT(14)	179014395054831337	0 16 22 36 70 100 102 124 126 156 190 204 210 226	27404838314
TPT(12)	179014401256366229	0 2 30 32 78 80 162 164 180 182 360 362	33606373206
SPT(14)	179014408816919617	0 22 30 34 36 42 64 132 154 160 162 166 174 196	41166926594
STPT(10)	179014424620123217	0 2 30 32 72 74 114 116 144 146	56970130194