Prime p₀= 11317725447313847 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 28 60 60 20 30 16 30 20 60 60 28 2 (?)
a_n: 0 2 30 90 150 170 200 216 246 266 326 386 414 416
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: 416
Found by: Scortch
db: batch=62, k=14, 2 28 60 60 20 30 16

SPT(14)	11317680578963597	0 12 24 54 72 80 102 122 144 152 170 200 212 224	-44868350250
TPT(12)	11317688953452017	0 2 12 14 24 26 42 44 54 56 120 122	-36493861830
SPT(14)	11317689619585871	0 26 48 78 86 132 140 168 176 222 230 260 282 308	-35827727976
SPT(14)	11317690207889669	0 14 24 44 48 90 120 218 248 290 294 314 324 338	-35239424178
SPT(14)	11317708437035723	0 6 20 56 84 128 144 170 186 230 258 294 308 314	-17010278124
SPT(16)	11317716616938059	0 12 20 42 54 80 164 180 182 198 282 308 320 342 350 362	-8830375788
SPT(14)	11317732880654267	0 44 90 104 110 146 156 194 204 240 246 260 306 350	7433340420
SPT(14)	11317735074078943	0 34 66 70 76 94 100 234 240 258 264 268 300 334	9626765096
TPT(12)	11317736839442699	0 2 30 32 72 74 78 80 120 122 150 152	11392128852
STPT(12)	11317736839442699	0 2 30 32 72 74 78 80 120 122 150 152	11392128852
SPT(14)	11317741934778967	0 10 34 70 102 142 150 154 162 202 234 270 294 304	16487465120