Prime p₀= 1291139801499611821 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 26 6 16 50 60 4 164 4 60 50 16 6 26 10 (?)
a_n: 0 10 36 42 58 108 168 172 336 340 400 450 466 472 498 508
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: 508
Found by: HenkM
db: batch=77, k=16, 10 26 6 16 50 60 4 164

TPT(14)	1291138526323039529	0 2 42 44 78 80 102 104 120 122 132 134 168 170	-1275176572292
STPT(10)	1291138945053551651	0 2 30 32 78 80 126 128 156 158	-856446060170
SPT(16)	1291139175367545841	0 42 52 58 88 102 162 168 172 178 238 252 282 288 298 340	-626132065980
STPT(10)	1291139601800271647	0 2 30 32 72 74 114 116 144 146	-199699340174
STPT(10)	1291139608268090687	0 2 30 32 42 44 54 56 84 86	-193231521134
SPT(16)	1291139797155413707	0 36 54 60 90 112 120 166 210 256 264 286 316 322 340 376	-4344198114
STPT(10)	1291140156116851067	0 2 24 26 42 44 60 62 84 86	354617239246
STPT(10)	1291140205972678067	0 2 30 32 42 44 54 56 84 86	404473066246
SPT(16)	1291140936977673919	0 18 34 40 48 82 118 184 228 294 330 364 372 378 394 412	1135478062098
STPT(10)	1291141624332118367	0 2 30 32 42 44 54 56 84 86	1822832506546
SPT(16)	1291141800749332687	0 4 42 84 112 204 210 256 270 316 322 414 442 484 522 526	1999249720866