Prime p₀= 425443977754197223 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 38 10 44 12 30 4 30 12 44 10 38 16 (?)
a_n: 0 16 54 64 108 120 150 154 184 196 240 250 288 304
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: 304
Found by: desktop64
db: batch=70, k=14, 16 38 10 44 12 30 4

SPT(16)	425443922828608721	0 32 50 56 98 102 156 182 186 212 266 270 312 318 336 368	-54925588502
SPT(14)	425443928082907021	0 16 46 52 70 72 82 156 166 168 186 192 222 238	-49671290202
STPT(10)	425443933015567559	0 2 42 44 60 62 78 80 120 122	-44738629664
TPT(12)	425443933015567559	0 2 42 44 60 62 78 80 120 122 162 164	-44738629664
SPT(14)	425443945720234579	0 34 42 52 64 78 84 118 124 138 150 160 168 202	-32033962644
TPT(12)	425443977346065407	0 2 42 44 72 74 120 122 132 134 162 164	-408131816
SPT(14)	425443993506990737	0 24 26 42 44 80 102 164 186 222 224 240 242 266	15752793514
SPT(14)	425443997404720153	0 34 70 90 96 136 150 184 198 238 244 264 300 334	19650522930
SPT(14)	425444027652940129	0 12 40 58 88 100 120 130 150 162 192 210 238 250	49898742906
SPT(14)	425444043462690139	0 4 34 40 70 72 90 94 112 114 144 150 180 184	65708492916
SPT(14)	425444048520238387	0 12 40 70 90 126 154 162 190 226 246 276 304 316	70766041164