Prime p₀= 1319917024717856527 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 42 54 2 64 18 32 34 32 18 64 2 54 42 4 (?)
a_n: 0 4 46 100 102 166 184 216 250 282 300 364 366 420 462 466
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: 466
Found by: Megacruncher
db: batch=77, k=16, 4 42 54 2 64 18 32 34

SPT(16)	1319915912610418091	0 2 8 12 26 38 50 66 152 168 180 192 206 210 216 218	-1112107438436
STPT(10)	1319915954927295989	0 2 48 50 90 92 132 134 180 182	-1069790560538
SPT(16)	1319916163668772771	0 6 28 36 72 138 160 162 286 288 310 376 412 420 442 448	-861049083756
SPT(16)	1319916281834428339	0 12 24 34 42 70 90 120 124 154 174 202 210 220 232 244	-742883428188
STPT(10)	1319916697419356129	0 2 42 44 60 62 78 80 120 122	-327298500398
STPT(10)	1319916974950203191	0 2 78 80 168 170 258 260 336 338	-49767653336
STPT(10)	1319917052004922067	0 2 54 56 72 74 90 92 144 146	27287065540
SPT(16)	1319917195276941757	0 34 66 112 156 174 202 214 222 234 262 280 324 370 402 436	170559085230
SPT(16)	1319917429658310731	0 6 42 48 50 56 66 80 108 122 132 138 140 146 182 188	404940454204
SPT(16)	1319917898419781723	0 80 90 96 140 164 206 216 248 258 300 324 368 374 384 464	873701925196
SPT(16)	1319918179036620941	0 26 42 86 98 120 138 152 186 200 218 240 252 296 312 338	1154318764414