Prime p₀= 404883349014932219 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 8 30 10 14 28 20 28 14 10 30 8 42 (?)
a_n: 0 42 50 80 90 104 132 152 180 194 204 234 242 284
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: 284
Found by: Cruncher Pete
db: batch=70, k=14, 42 8 30 10 14 28 20

SPT(14)	404883265384118281	0 22 40 60 82 90 118 132 160 168 190 210 228 250	-83630813938
TPT(12)	404883274646103767	0 2 24 26 42 44 54 56 90 92 132 134	-74368828452
SPT(14)	404883277988089699	0 42 84 144 148 178 190 192 204 234 238 298 340 382	-71026842520
SPT(14)	404883293194044781	0 46 88 138 156 166 172 366 372 382 400 450 492 538	-55820887438
SPT(14)	404883299429921089	0 10 12 22 78 114 138 154 178 214 270 280 282 292	-49585011130
STPT(10)	404883309073089359	0 2 42 44 60 62 78 80 120 122	-39941842860
TPT(12)	404883386887959611	0 2 60 62 90 92 156 158 168 170 300 302	37873027392
SPT(14)	404883418910205569	0 32 50 74 80 90 110 132 152 162 168 192 210 242	69895273350
SPT(14)	404883420089569789	0 40 42 58 82 90 112 168 190 198 222 238 240 280	71074637570
SPT(14)	404883422578995329	0 2 12 68 92 114 128 144 158 180 204 260 270 272	73564063110
SPT(14)	404883422678374447	0 42 64 82 106 120 184 222 286 300 324 342 364 406	73663442228