Prime p₀= 23537336321996657 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 24 28 8 52 26 16 26 52 8 28 24 2 (?)
a_n: 0 2 26 54 62 114 140 156 182 234 242 270 294 296
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: 296
Found by: ChelseaOilman
db: batch=65, k=14, 2 24 28 8 52 26 16

SPT(14)	23537299575127981	0 60 70 82 96 136 198 250 312 352 366 378 388 448	-36746868676
SPT(14)	23537303516386217	0 32 42 50 116 122 126 266 270 276 342 350 360 392	-32805610440
SPT(14)	23537305889587531	0 16 46 52 82 100 112 126 138 156 186 192 222 238	-30432409126
SPT(14)	23537318532033811	0 18 22 30 46 60 66 142 148 162 178 186 190 208	-17789962846
SPT(14)	23537325178142467	0 16 54 60 70 84 102 154 172 186 196 202 240 256	-11143854190
SPT(14)	23537325702899089	0 12 22 54 58 78 100 102 124 144 148 180 190 202	-10619097568
SPT(14)	23537343435937141	0 12 30 42 48 52 76 132 156 160 166 178 196 208	7113940484
SPT(14)	23537358808698589	0 54 78 84 100 112 142 150 180 192 208 214 238 292	22486701932
SPT(14)	23537362954124651	0 30 60 128 132 158 162 308 312 338 342 410 440 470	26632127994
SPT(14)	23537370626313893	0 20 38 66 98 116 126 248 258 276 308 336 354 374	34304317236
SPT(14)	23537376351881137	0 4 12 22 40 64 70 114 120 144 162 172 180 184	40029884480