Prime p₀= 231713298105350123 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 14 18 88 48 20 16 20 48 88 18 14 6 (?)
a_n: 0 6 20 38 126 174 194 210 230 278 366 384 398 404
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: 404
Found by: Ralfy
db: batch=69, k=14, 6 14 18 88 48 20 16

SPT(16)	231713256561142201	0 10 30 52 82 88 102 112 126 136 150 156 186 208 228 238	-41544207922
TPT(12)	231713258468725259	0 2 48 50 72 74 78 80 120 122 132 134	-39636624864
TPT(12)	231713263508677229	0 2 12 14 138 140 168 170 198 200 222 224	-34596672894
TPT(12)	231713265702984797	0 2 42 44 54 56 84 86 90 92 144 146	-32402365326
SPT(14)	231713275376407961	0 30 38 56 78 92 96 122 126 140 162 180 188 218	-22728942162
SPT(14)	231713295620016517	0 4 16 72 94 132 136 150 154 192 214 270 282 286	-2485333606
STPT(10)	231713315038897331	0 2 6 8 48 50 90 92 96 98	16933547208
STPT(10)	231713323508306579	0 2 30 32 60 62 90 92 120 122	25402956456
SPT(14)	231713324627756453	0 26 54 56 60 140 144 146 150 230 234 236 264 290	26522406330
TPT(12)	231713330280050909	0 2 42 44 78 80 108 110 132 134 138 140	32174700786
TPT(12)	231713338215081131	0 2 36 38 48 50 246 248 318 320 336 338	40109731008