Prime p₀= 3012012001783652687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: conf [MM]
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3012011466534641099	0 18 50 68 78 104 110 128 144 162 168 194 204 222 254 272	-535249011588
SPT(16)	3012011795489165977	0 30 46 70 72 84 96 112 144 160 172 184 186 210 226 256	-206294486710
TPT(14)	3012011802563942147	0 2 54 56 60 62 90 92 102 104 114 116 144 146	-199219710540
STPT(10)	3012011802563942207	0 2 30 32 42 44 54 56 84 86	-199219710480
STPT(10)	3012011855139534347	0 2 42 44 72 74 102 104 144 146	-146644118340
SPT(16)	3012011979582041041	0 36 42 72 112 156 168 232 336 400 412 456 496 526 532 568	-22201611646
STPT(10)	3012012196348729307	0 2 24 26 42 44 60 62 84 86	194565076620
STPT(10)	3012012303859808609	0 2 42 44 90 92 138 140 180 182	302076155922
STPT(10)	3012012684374247809	0 2 48 50 90 92 132 134 180 182	682590595122
STPT(10)	3012012710151359219	0 2 42 44 90 92 138 140 180 182	708367706532
SPT(20)	3012012910363783537	0 16 22 30 112 124 144 154 156 172 204 220 222 232 252 264 346 354 360 376	908580130850