Prime p₀= 65380592152887559 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 26 4 8 46 6 14 6 46 8 4 26 4 (?)
a_n: 0 4 30 34 42 88 94 108 114 160 168 172 198 202
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: Ralfy
db: batch=67, k=14, 4 26 4 8 46 6 14

SPT(14)	65380545295906681	0 10 18 52 78 102 106 192 196 220 246 280 288 298	-46856980878
TPT(14)	65380559035849901	0 2 6 8 18 20 48 50 126 128 156 158 186 188	-33117037658
TPT(12)	65380559692035227	0 2 54 56 132 134 210 212 222 224 234 236	-32460852332
TPT(12)	65380567233437537	0 2 30 32 54 56 132 134 300 302 312 314	-24919450022
TPT(12)	65380572402863411	0 2 36 38 66 68 150 152 168 170 198 200	-19750024148
SPT(14)	65380586567019287	0 32 36 42 54 92 110 126 144 182 194 200 204 236	-5585868272
TPT(12)	65380615294163369	0 2 30 32 48 50 102 104 168 170 270 272	23141275810
SPT(16)	65380627571605469	0 2 12 78 90 92 128 194 198 264 300 302 314 380 390 392	35418717910
SPT(14)	65380633966273187	0 14 20 72 102 116 174 182 240 254 284 336 342 356	41813385628
SPT(14)	65380635369928699	0 22 30 58 60 78 90 100 112 130 132 160 168 190	43217041140
TPT(12)	65380637200126187	0 2 30 32 102 104 162 164 210 212 252 254	45047238628