Prime p₀= 1429863197120505611 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 32 12 28 24 14 6 4 6 14 24 28 12 32 6 (?)
a_n: 0 6 38 50 78 102 116 122 126 132 146 170 198 210 242 248
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 248
Found by: Theadalus
db: batch=78, k=16, 6 32 12 28 24 14 6 4

STPT(10)	1429861881622826549	0 2 42 44 60 62 78 80 120 122	-1315497679062
STPT(12)	1429862192787785879	0 2 12 14 42 44 48 50 78 80 90 92	-1004332719732
SPT(16)	1429862303316199981	0 40 48 60 72 118 126 142 156 172 180 226 238 250 258 298	-893804305630
SPT(16)	1429862634002830193	0 6 18 24 66 74 96 108 176 188 210 218 260 266 278 284	-563117675418
SPT(16)	1429862829207526919	0 20 30 32 44 72 104 108 164 168 200 228 240 242 252 272	-367912978692
SPT(16)	1429863067788440981	0 42 66 72 80 108 146 170 258 282 320 348 356 362 386 428	-129332064630
STPT(10)	1429863221489282651	0 2 30 32 78 80 126 128 156 158	24368777040
TPT(14)	1429863244709545577	0 2 42 44 72 74 162 164 192 194 204 206 294 296	47589039966
STPT(10)	1429863573220022921	0 2 30 32 78 80 126 128 156 158	376099517310
SPT(18)	1429863975422757463	0 18 46 70 106 138 166 168 186 190 208 210 238 270 306 330 358 376	778302251852
SPT(16)	1429864273952301497	0 24 36 60 84 90 102 126 140 164 176 182 206 230 242 266	1076831795886