Prime p₀= 2362404671891656439 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 34 44 12 16 24 8 58 8 24 16 12 44 34 14 (?)
a_n: 0 14 48 92 104 120 144 152 210 218 242 258 270 314 348 362
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: 362
Found by: Landjunge
db: batch=81, k=16, 14 34 44 12 16 24 8 58

SPT(16)	2362403175125569141	0 12 18 46 48 70 82 100 168 186 198 220 222 250 256 268	-1496766087298
STPT(10)	2362403193923884751	0 2 6 8 48 50 90 92 96 98	-1477967771688
STPT(10)	2362403444593594781	0 2 36 38 78 80 120 122 156 158	-1227298061658
STPT(10)	2362403444596048871	0 2 78 80 108 110 138 140 216 218	-1227295607568
STPT(10)	2362403480529316307	0 2 30 32 72 74 114 116 144 146	-1191362340132
STPT(10)	2362404324357400199	0 2 30 32 60 62 90 92 120 122	-347534256240
SPT(16)	2362404913212614131	0 46 58 78 102 180 190 210 268 288 298 376 400 420 432 478	241320957692
STPT(10)	2362404938205430169	0 2 18 20 30 32 42 44 60 62	266313773730
STPT(10)	2362405160843761211	0 2 6 8 48 50 90 92 96 98	488952104772
TPT(14)	2362405206232958477	0 2 42 44 54 56 84 86 90 92 180 182 222 224	534341302038
SPT(16)	2362405556095695967	0 16 42 114 126 142 150 156 220 226 234 250 262 334 360 376	884204039528