Prime p₀= 404883418910205569 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 18 24 6 10 20 22 20 10 6 24 18 32 (?)
a_n: 0 32 50 74 80 90 110 132 152 162 168 192 210 242
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: 242
Found by: Cruncher Pete
db: batch=70, k=14, 32 18 24 6 10 20 22

SPT(14)	404883277988089699	0 42 84 144 148 178 190 192 204 234 238 298 340 382	-140922115870
SPT(14)	404883293194044781	0 46 88 138 156 166 172 366 372 382 400 450 492 538	-125716160788
SPT(14)	404883299429921089	0 10 12 22 78 114 138 154 178 214 270 280 282 292	-119480284480
STPT(10)	404883309073089359	0 2 42 44 60 62 78 80 120 122	-109837116210
SPT(14)	404883349014932219	0 42 50 80 90 104 132 152 180 194 204 234 242 284	-69895273350
TPT(12)	404883386887959611	0 2 60 62 90 92 156 158 168 170 300 302	-32022245958
SPT(14)	404883420089569789	0 40 42 58 82 90 112 168 190 198 222 238 240 280	1179364220
SPT(14)	404883422578995329	0 2 12 68 92 114 128 144 158 180 204 260 270 272	3668789760
SPT(14)	404883422678374447	0 42 64 82 106 120 184 222 286 300 324 342 364 406	3768168878
SPT(14)	404883432644279063	0 24 30 38 44 68 104 150 186 210 216 224 230 254	13734073494
SPT(14)	404883480398010151	0 16 30 40 52 66 76 132 142 156 168 178 192 208	61487804582