Prime p₀= 425443945720234579 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 8 10 12 14 6 34 6 14 12 10 8 34 (?)
a_n: 0 34 42 52 64 78 84 118 124 138 150 160 168 202
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: 202
Found by: desktop64
db: batch=70, k=14, 34 8 10 12 14 6 34

SPT(14)	425443887932644183	0 18 40 66 78 108 126 148 166 196 208 234 256 274	-57787590396
SPT(20)	425443909872764437	0 4 36 102 114 142 162 174 232 240 256 264 322 334 354 382 394 460 492 496	-35847470142
SPT(16)	425443922828608721	0 32 50 56 98 102 156 182 186 212 266 270 312 318 336 368	-22891625858
SPT(14)	425443928082907021	0 16 46 52 70 72 82 156 166 168 186 192 222 238	-17637327558
STPT(10)	425443933015567559	0 2 42 44 60 62 78 80 120 122	-12704667020
TPT(12)	425443933015567559	0 2 42 44 60 62 78 80 120 122 162 164	-12704667020
TPT(12)	425443977346065407	0 2 42 44 72 74 120 122 132 134 162 164	31625830828
SPT(14)	425443977754197223	0 16 54 64 108 120 150 154 184 196 240 250 288 304	32033962644
SPT(14)	425443993506990737	0 24 26 42 44 80 102 164 186 222 224 240 242 266	47786756158
SPT(14)	425443997404720153	0 34 70 90 96 136 150 184 198 238 244 264 300 334	51684485574
SPT(14)	425444027652940129	0 12 40 58 88 100 120 130 150 162 192 210 238 250	81932705550