Prime p₀= 1058511895886516543 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 2 58 38 6 40 14 16 14 40 6 38 58 2 6 (?)
a_n: 0 6 8 66 104 110 150 164 180 194 234 240 278 336 338 344
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: 344
Found by: stoneageman
db: batch=76, k=16, 6 2 58 38 6 40 14 16

STPT(10)	1058510413013957921	0 2 66 68 138 140 210 212 276 278	-1482872558622
SPT(16)	1058510972869990373	0 44 66 74 84 126 140 144 170 174 188 230 240 248 270 314	-923016526170
SPT(16)	1058511019570887997	0 24 34 60 72 100 136 160 186 210 246 274 286 312 322 346	-876315628546
SPT(16)	1058511023140128317	0 42 56 92 102 104 144 146 240 242 282 284 294 330 344 386	-872746388226
SPT(16)	1058511046028685367	0 34 42 54 70 94 96 112 114 130 132 156 172 184 192 226	-849857831176
STPT(12)	1058511205293897389	0 2 60 62 72 74 138 140 150 152 210 212	-690592619154
STPT(10)	1058512438915974347	0 2 30 32 42 44 54 56 84 86	543029457804
SPT(16)	1058512445038250291	0 8 20 36 42 50 66 92 96 122 138 146 152 168 180 188	549151733748
STPT(10)	1058512454900147867	0 2 42 44 72 74 102 104 144 146	559013631324
STPT(10)	1058512709763492131	0 2 36 38 78 80 120 122 156 158	813876975588
STPT(10)	1058512995121137761	0 2 6 8 18 20 30 32 36 38	1099234621218