Prime p₀= 374863408177531789 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 50 34 74 6 16 2 16 6 74 34 50 10 (?)
a_n: 0 10 60 94 168 174 190 192 208 214 288 322 372 382
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: 382
Found by: Cruncher Pete
db: batch=70, k=14, 10 50 34 74 6 16 2

SPT(14)	374863360918024337	0 36 42 62 66 90 134 162 206 230 234 254 260 296	-47259507452
SPT(14)	374863369561635301	0 28 58 78 102 112 130 198 216 226 250 270 300 328	-38615896488
SPT(14)	374863373837060519	0 20 32 54 90 104 108 134 138 152 188 210 222 242	-34340471270
SPT(14)	374863387204059487	0 6 40 52 60 96 100 126 130 166 174 186 220 226	-20973472302
SPT(14)	374863395114035449	0 4 18 34 94 108 124 144 160 174 234 250 264 268	-13063496340
SPT(14)	374863399554327533	0 36 54 68 80 126 146 168 188 234 246 260 278 314	-8623204256
SPT(14)	374863448501801741	0 26 32 60 72 102 110 132 140 170 182 210 216 242	40324269952
SPT(14)	374863477691407967	0 6 12 36 54 56 62 114 120 122 140 164 170 176	69513876178
SPT(14)	374863484374828133	0 38 48 66 80 90 156 158 224 234 248 266 276 314	76197296344
TPT(12)	374863486203052631	0 2 36 38 78 80 108 110 156 158 360 362	78025520842
SPT(14)	374863490445417307	0 46 52 60 102 112 126 130 144 154 196 204 210 256	82267885518