Prime p₀= 235571157732629113 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 64 2 18 24 28 14 4 14 28 24 18 2 64 (?)
a_n: 0 64 66 84 108 136 150 154 168 196 220 238 240 304
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: Megacruncher
db: batch=69, k=14, 64 2 18 24 28 14 4

SPT(14)	235571082444254951	0 6 30 42 56 72 80 108 116 132 146 158 182 188	-75288374162
SPT(14)	235571095874177419	0 12 28 82 90 100 118 222 240 250 258 312 328 340	-61858451694
SPT(14)	235571099772122267	0 2 60 84 96 114 126 170 182 200 212 236 294 296	-57960506846
SPT(14)	235571124320446333	0 4 28 34 40 58 66 118 126 144 150 156 180 184	-33412182780
SPT(14)	235571127820895287	0 4 22 46 72 82 84 142 144 154 180 204 222 226	-29911733826
TPT(14)	235571144535577349	0 2 42 44 48 50 78 80 120 122 168 170 252 254	-13197051764
SPT(14)	235571183437426427	0 6 42 120 134 162 164 192 194 222 236 314 350 356	25704797314
SPT(14)	235571188854795377	0 2 12 50 182 210 240 302 332 360 492 530 540 542	31122166264
SPT(14)	235571197658526529	0 4 24 64 78 112 120 142 150 184 198 238 258 262	39925897416
TPT(12)	235571199035962637	0 2 12 14 42 44 234 236 264 266 330 332	41303333524
SPT(16)	235571205009248447	0 6 36 44 50 80 96 120 140 164 180 210 216 224 254 260	47276619334