Prime p₀= 1012143861039631241 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 2 12 6 84 16 12 2 12 16 84 6 12 2 6 (?)
a_n: 0 6 8 20 26 110 126 138 140 152 168 252 258 270 272 278
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: 278
Found by: HenkM
db: batch=76, k=16, 6 2 12 6 84 16 12 2

SPT(16)	1012142721890247781	0 16 36 42 52 70 78 106 192 220 228 246 256 262 282 298	-1139149383460
STPT(10)	1012142867490545849	0 2 42 44 60 62 78 80 120 122	-993549085392
STPT(10)	1012143048575688719	0 2 18 20 30 32 42 44 60 62	-812463942522
TPT(14)	1012143122085997079	0 2 12 14 162 164 192 194 252 254 330 332 390 392	-738953634162
TPT(14)	1012143642843599027	0 2 102 104 114 116 312 314 390 392 450 452 474 476	-218196032214
STPT(10)	1012143833051273147	0 2 30 32 42 44 54 56 84 86	-27988358094
STPT(10)	1012144049332242551	0 2 6 8 48 50 90 92 96 98	188292611310
TPT(14)	1012144169256787811	0 2 30 32 96 98 138 140 156 158 168 170 318 320	308217156570
SPT(16)	1012144189569556739	0 12 14 20 42 78 80 98 204 222 224 260 282 288 290 302	328529925498
STPT(10)	1012144389416486717	0 2 30 32 42 44 54 56 84 86	528376855476
STPT(10)	1012144561691889851	0 2 36 38 78 80 120 122 156 158	700652258610