Prime p₀= 1322121504118493597 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 38 34 26 24 16 36 14 36 16 24 26 34 38 12 (?)
a_n: 0 12 50 84 110 134 150 186 200 236 252 276 302 336 374 386
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: 386
Found by: Megacruncher
db: batch=77, k=16, 12 38 34 26 24 16 36 14

SPT(16)	1322119890288695917	0 34 40 82 100 102 124 126 130 132 154 156 174 216 222 256	-1613829797680
STPT(10)	1322120061036094259	0 2 42 44 60 62 78 80 120 122	-1443082399338
STPT(10)	1322120538277891829	0 2 138 140 180 182 222 224 360 362	-965840601768
STPT(10)	1322120952497714417	0 2 42 44 72 74 102 104 144 146	-551620779180
SPT(20)	1322121040104909193	0 10 108 114 130 190 210 220 240 256 378 394 414 424 444 504 520 526 624 634	-464013584404
SPT(16)	1322121371137617341	0 18 30 32 36 78 90 92 96 98 110 152 156 158 170 188	-132980876256
SPT(16)	1322121646467162293	0 18 44 96 110 114 140 236 288 384 410 414 428 480 506 524	142348668696
STPT(10)	1322121835161752291	0 2 6 8 18 20 30 32 36 38	331043258694
STPT(10)	1322122204176785441	0 2 6 8 108 110 210 212 216 218	700058291844
SPT(16)	1322122266691155739	0 40 82 84 102 138 150 174 208 232 244 280 298 300 342 382	762572662142
TPT(14)	1322122679381061329	0 2 48 50 78 80 228 230 252 254 258 260 342 344	1175262567732