Prime p₀= 1283978858740246519 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 36 68 4 2 10 36 32 36 10 2 4 68 36 34 (?)
a_n: 0 34 70 138 142 144 154 190 222 258 268 270 274 342 378 412
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: 412
Found by: Cruncher Pete
db: batch=77, k=16, 34 36 68 4 2 10 36 32

SPT(16)	1283976684834910309	0 18 22 28 34 40 42 48 124 130 132 138 144 150 154 172	-2173905336210
SPT(16)	1283977386310243199	0 24 50 92 110 150 152 164 168 180 182 222 240 282 308 332	-1472430003320
STPT(10)	1283977542985161767	0 2 12 14 42 44 72 74 84 86	-1315755084752
TPT(14)	1283977556685617999	0 2 162 164 168 170 210 212 240 242 270 272 282 284	-1302054628520
STPT(10)	1283978352176174267	0 2 30 32 42 44 54 56 84 86	-506564072252
SPT(16)	1283978708426227039	0 4 22 30 58 90 100 102 130 132 142 174 202 210 228 232	-150314019480
SPT(16)	1283978888142638173	0 54 90 100 124 168 178 250 318 390 400 444 468 478 514 568	29402391654
STPT(10)	1283978989534214117	0 2 42 44 72 74 102 104 144 146	130793967598
STPT(10)	1283979041105846357	0 2 30 32 42 44 54 56 84 86	182365599838
SPT(16)	1283979144427230619	0 78 84 114 124 142 154 172 180 198 210 228 238 268 274 352	285686984100
SPT(16)	1283979680276354051	0 8 42 48 50 68 96 146 162 212 240 258 260 266 300 308	821536107532