Prime p₀= 2352703442312669653 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 6 84 18 14 4 2 22 2 4 14 18 84 6 58 (?)
a_n: 0 58 64 148 166 180 184 186 208 210 214 228 246 330 336 394
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: 394
Found by: MarkRBright
db: batch=81, k=16, 58 6 84 18 14 4 2 22

SPT(16)	2352702490423883093	0 60 66 68 84 138 194 224 240 270 326 380 396 398 404 464	-951888786560
STPT(10)	2352702758053674107	0 2 42 44 72 74 102 104 144 146	-684258995546
TPT(14)	2352702804237949859	0 2 42 44 48 50 90 92 120 122 168 170 252 254	-638074719794
STPT(10)	2352702836641326737	0 2 12 14 42 44 72 74 84 86	-605671342916
SPT(16)	2352703166066810581	0 12 16 36 76 78 100 112 126 138 160 162 202 222 226 238	-276245859072
STPT(10)	2352703179365713589	0 2 48 50 60 62 72 74 120 122	-262946956064
TPT(14)	2352703484903431937	0 2 60 62 102 104 210 212 312 314 342 344 354 356	42590762284
TPT(14)	2352703540821660359	0 2 12 14 90 92 102 104 168 170 240 242 342 344	98508990706
SPT(16)	2352704080538591837	0 2 44 84 116 200 212 222 224 234 246 330 362 402 444 446	638225922184
SPT(16)	2352704080988210969	0 18 38 50 84 120 122 140 252 270 272 308 342 354 374 392	638675541316
TPT(14)	2352704418590732777	0 2 30 32 42 44 72 74 132 134 174 176 354 356	976278063124