Prime p₀= 1416477941250722003 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 90 8 12 16 8 112 2 112 8 16 12 8 90 30 (?)
a_n: 0 30 120 128 140 156 164 276 278 390 398 414 426 434 524 554
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: 554
Found by: Theadalus
db: batch=78, k=16, 30 90 8 12 16 8 112 2

STPT(10)	1416476606117714171	0 2 30 32 60 62 90 92 120 122	-1335133007832
SPT(16)	1416476670795586513	0 28 66 114 130 136 138 180 364 406 408 414 430 478 516 544	-1270455135490
SPT(16)	1416476700709090781	0 12 18 36 56 60 62 68 90 96 98 102 122 140 146 158	-1240541631222
SPT(16)	1416476885025373231	0 12 42 58 82 90 100 130 210 240 250 258 282 298 328 340	-1056225348772
STPT(10)	1416477189523451327	0 2 30 32 42 44 54 56 84 86	-751727270676
SPT(16)	1416477387179286259	0 28 34 42 58 84 90 112 120 142 148 174 190 198 204 232	-554071435744
STPT(10)	1416478198549345847	0 2 24 26 42 44 60 62 84 86	257298623844
SPT(16)	1416478604438013689	0 14 18 48 72 74 152 224 228 300 378 380 404 434 438 452	663187291686
SPT(16)	1416478617763856183	0 6 20 50 84 188 194 234 260 300 306 410 444 474 488 494	676513134180
SPT(16)	1416479277088721089	0 24 30 34 48 54 88 124 144 180 214 220 234 238 244 268	1335837999086
SPT(16)	1416479286603136127	0 26 30 60 72 74 86 92 144 150 162 164 176 206 210 236	1345352414124