Prime p₀= 3014849971387240643 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 48 8 42 30 12 10 44 16 44 10 12 30 42 8 48 (?)
a_n: 0 48 56 98 128 140 150 194 210 254 264 276 306 348 356 404
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: 404
Found by: Alnitak2019
db: batch=82, k=16, 48 8 42 30 12 10 44 16

SPT(16)	3014848851644544407	0 36 50 96 132 146 150 162 194 206 210 224 260 306 320 356	-1119742696236
SPT(16)	3014849047825263041	0 26 38 50 68 126 152 182 246 276 302 360 378 390 402 428	-923561977602
STPT(10)	3014849110803834719	0 2 18 20 30 32 42 44 60 62	-860583405924
SPT(16)	3014849413067332699	0 18 24 34 40 48 70 124 138 192 214 222 228 238 244 262	-558319907944
STPT(10)	3014849708346296069	0 2 18 20 30 32 42 44 60 62	-263040944574
SPT(16)	3014849942422336663	0 66 108 124 126 150 166 178 186 198 214 238 240 256 298 364	-28964903980
SPT(16)	3014850024805567567	0 10 16 24 40 54 66 76 90 100 112 126 142 150 156 166	53418326924
STPT(10)	3014850749740090487	0 2 30 32 72 74 114 116 144 146	778352849844
STPT(10)	3014851162909869431	0 2 36 38 78 80 120 122 156 158	1191522628788
SPT(16)	3014851332523872623	0 8 18 36 48 96 138 140 264 266 308 356 368 386 396 404	1361136631980
TPT(14)	3014851506002264111	0 2 78 80 138 140 318 320 336 338 360 362 390 392	1534615023468