Prime p₀= 120372115607243953 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 14 16 62 24 6 82 6 24 62 16 14 4 (?)
a_n: 0 4 18 34 96 120 126 208 214 238 300 316 330 334
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: Alez
db: batch=67, k=14, 4 14 16 62 24 6 82

SPT(16)	120372077610650461	0 18 22 52 58 70 82 88 120 126 138 150 156 186 190 208	-37996593492
SPT(14)	120372099603575437	0 22 24 70 100 106 114 142 150 156 186 232 234 256	-16003668516
SPT(14)	120372103224388349	0 8 24 48 50 68 78 110 120 138 140 164 180 188	-12382855604
SPT(14)	120372108803714567	0 2 42 56 60 120 200 216 296 356 360 374 414 416	-6803529386
SPT(14)	120372109618623449	0 30 42 48 60 72 104 108 140 152 164 170 182 212	-5988620504
TPT(12)	120372112573331891	0 2 18 20 96 98 138 140 186 188 336 338	-3033912062
TPT(12)	120372117609134561	0 2 18 20 198 200 228 230 240 242 258 260	2001890608
SPT(16)	120372117860124043	0 6 28 34 64 70 84 174 190 280 294 300 330 336 358 364	2252880090
SPT(14)	120372122687807563	0 16 28 94 96 108 124 240 256 268 270 336 348 364	7080563610
SPT(14)	120372123596455063	0 48 58 64 78 90 120 124 154 166 180 186 196 244	7989211110
TPT(12)	120372125929081529	0 2 72 74 150 152 192 194 198 200 222 224	10321837576