Prime p₀= 2322978056149004993 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 4 24 32 12 58 12 68 12 58 12 32 24 4 56 (?)
a_n: 0 56 60 84 116 128 186 198 266 278 336 348 380 404 408 464
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: 464
Found by: Landjunge
db: batch=81, k=16, 56 4 24 32 12 58 12 68

SPT(16)	2322977197838107597	0 10 34 52 94 100 120 132 262 274 294 300 342 360 384 394	-858310897396
SPT(16)	2322977378666624803	0 30 48 60 70 78 96 118 168 190 208 216 226 238 256 286	-677482380190
SPT(16)	2322977579774287433	0 26 96 156 180 236 264 294 356 386 414 470 494 554 624 650	-476374717560
STPT(10)	2322977705416051391	0 2 36 38 138 140 240 242 276 278	-350732953602
SPT(16)	2322977735300453809	0 4 34 40 54 78 88 90 118 120 130 154 168 174 204 208	-320848551184
STPT(10)	2322977938800521207	0 2 30 32 102 104 174 176 204 206	-117348483786
STPT(10)	2322978409782292781	0 2 30 32 78 80 126 128 156 158	353633287788
STPT(10)	2322978411595187807	0 2 24 26 42 44 60 62 84 86	355446182814
SPT(16)	2322978537723447959	0 12 120 122 134 192 194 218 234 258 260 318 330 332 440 452	481574442966
SPT(16)	2322978963590958691	0 16 22 58 82 132 156 210 328 382 406 456 480 516 522 538	907441953698
TPT(14)	2322979275620347997	0 2 30 32 72 74 120 122 174 176 210 212 240 242	1219471343004