Prime p₀= 2509213971335275409 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 44 16 2 48 4 18 32 18 4 48 2 16 44 18 (?)
a_n: 0 18 62 78 80 128 132 150 182 200 204 252 254 270 314 332
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: 332
Found by: JayPi
db: batch=82, k=16, 18 44 16 2 48 4 18 32

SPT(16)	2509212919340482907	0 14 26 30 66 116 216 230 360 374 474 524 560 564 576 590	-1051994792502
TPT(14)	2509212986747795177	0 2 42 44 90 92 120 122 132 134 150 152 234 236	-984587480232
STPT(10)	2509213006262061311	0 2 36 38 78 80 120 122 156 158	-965073214098
TPT(14)	2509213042350020999	0 2 108 110 150 152 168 170 198 200 210 212 222 224	-928985254410
SPT(16)	2509213428845337761	0 56 72 78 126 140 176 182 186 192 228 242 290 296 312 368	-542489937648
SPT(16)	2509213679351003423	0 14 78 80 108 138 156 198 206 248 266 296 324 326 390 404	-291984271986
SPT(16)	2509213996488113653	0 40 46 78 84 90 96 120 124 148 154 160 166 198 204 244	25152838244
SPT(16)	2509214383669985681	0 26 30 56 78 110 140 152 186 198 228 260 282 308 312 338	412334710272
SPT(16)	2509214394650170261	0 42 66 82 118 216 220 270 328 378 382 480 516 532 556 598	423314894852
TPT(14)	2509214400554279027	0 2 24 26 30 32 42 44 162 164 192 194 210 212	429219003618
SPT(16)	2509214411387523083	0 14 24 30 90 140 156 210 254 308 324 374 434 440 450 464	440052247674