Prime p₀= 1079799701310242323 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 42 30 30 82 20 4 20 82 30 30 42 2 4 (?)
a_n: 0 4 6 48 78 108 190 210 214 234 316 346 376 418 420 424
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: 424
Found by: Skivelitis2
db: batch=76, k=16, 4 2 42 30 30 82 20 4

SPT(16)	1079798243652349187	0 2 26 32 44 66 72 116 150 194 200 222 234 240 264 266	-1457657893136
SPT(16)	1079798418283216847	0 14 24 50 66 74 116 182 294 360 402 410 426 452 462 476	-1283027025476
STPT(10)	1079798872368800501	0 2 30 32 78 80 126 128 156 158	-828941441822
SPT(16)	1079799145568203327	0 10 12 16 36 42 46 64 102 120 124 130 150 154 156 166	-555742038996
TPT(14)	1079799487317354887	0 2 12 14 24 26 42 44 150 152 222 224 270 272	-213992887436
STPT(10)	1079799530028973529	0 2 42 44 180 182 318 320 360 362	-171281268794
SPT(16)	1079799931380971399	0 44 48 62 68 104 110 152 300 342 348 384 390 404 408 452	230070729076
STPT(10)	1079799937928609057	0 2 30 32 42 44 54 56 84 86	236618366734
STPT(10)	1079799988861968947	0 2 42 44 72 74 102 104 144 146	287551726624
STPT(10)	1079800112674993637	0 2 30 32 72 74 114 116 144 146	411364751314
STPT(10)	1079800716062500889	0 2 78 80 120 122 162 164 240 242	1014752258566