Prime p₀= 186661225543129739 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 50 22 6 30 2 18 4 18 2 30 6 22 50 (?)
a_n: 0 50 72 78 108 110 128 132 150 152 182 188 210 260
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: 260
Found by: desktop64
db: batch=69, k=14, 50 22 6 30 2 18 4

SPT(16)	186661141748043343	0 30 34 64 66 90 106 118 156 168 184 208 210 240 244 274	-83795086396
SPT(14)	186661149770966543	0 36 74 80 140 150 158 186 194 204 264 270 308 344	-75772163196
SPT(14)	186661156943775443	0 26 44 54 114 150 156 248 254 290 350 360 378 404	-68599354296
SPT(14)	186661190942614369	0 4 22 60 70 94 112 192 210 234 244 282 300 304	-34600515370
SPT(14)	186661199878472471	0 26 36 60 102 110 116 126 132 140 182 206 216 242	-25664657268
SPT(14)	186661216767998977	0 4 12 34 42 222 246 250 274 454 462 484 492 496	-8775130762
SPT(14)	186661226411363159	0 30 32 44 80 92 120 122 150 162 198 210 212 242	868233420
SPT(14)	186661246215946241	0 18 20 26 38 80 126 242 288 330 342 348 350 368	20672816502
SPT(14)	186661248990054851	0 6 36 50 56 62 78 80 96 102 108 122 152 158	23446925112
SPT(14)	186661255122575383	0 36 76 148 154 166 174 190 198 210 216 288 328 364	29579445644
TPT(12)	186661256887267607	0 2 12 14 30 32 90 92 144 146 174 176	31344137868