Prime p₀= 347337183939833993 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 44 6 28 8 12 6 16 6 12 8 28 6 44 (?)
a_n: 0 44 50 78 86 98 104 120 126 138 146 174 180 224
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: 224
Found by: nenym
db: batch=70, k=14, 44 6 28 8 12 6 16

SPT(16)	347337078080013233	0 6 36 50 60 66 78 80 84 86 98 104 114 128 158 164	-105859820760
SPT(14)	347337096346125737	0 62 120 132 152 192 194 330 332 372 392 404 462 524	-87593708256
SPT(14)	347337102898616791	0 42 78 108 112 120 126 142 148 156 160 190 226 268	-81041217202
SPT(14)	347337103621086031	0 10 12 22 36 46 52 96 102 112 126 136 138 148	-80318747962
SPT(16)	347337114950806319	0 14 54 62 80 104 122 132 230 240 258 282 300 308 348 362	-68989027674
TPT(12)	347337158245180709	0 2 12 14 48 50 72 74 132 134 138 140	-25694653284
SPT(14)	347337191525809591	0 40 58 66 88 96 100 108 112 120 142 150 168 208	7585975598
TPT(12)	347337193150195607	0 2 30 32 60 62 72 74 84 86 144 146	9210361614
SPT(14)	347337211790749879	0 18 24 34 40 52 130 132 210 222 228 238 244 262	27850915886
SPT(16)	347337211836048641	0 6 8 26 30 42 50 86 102 138 146 158 162 180 182 188	27896214648
SPT(14)	347337233076110411	0 26 38 110 138 192 206 222 236 290 318 390 402 428	49136276418