Prime p₀= 1033677828155887667 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

STPT(12)	1033676633209493849	0 2 30 32 42 44 78 80 90 92 120 122	-1194946393818
STPT(10)	1033676895967272251	0 2 36 38 78 80 120 122 156 158	-932188615416
STPT(10)	1033677280858702817	0 2 30 32 42 44 54 56 84 86	-547297184850
SPT(16)	1033677342632670007	0 16 46 100 150 186 192 216 220 244 250 286 336 390 420 436	-485523217660
STPT(10)	1033677386607163547	0 2 30 32 42 44 54 56 84 86	-441548724120
SPT(16)	1033677794194544911	0 12 40 46 58 90 118 126 142 150 178 210 222 228 256 268	-33961342756
SPT(16)	1033677942090995251	0 18 22 36 40 72 88 100 108 120 136 168 172 186 190 208	113935107584
SPT(16)	1033678132340726407	0 12 16 22 40 64 112 142 174 204 252 276 294 300 304 316	304184838740
STPT(10)	1033678262413141361	0 2 30 32 78 80 126 128 156 158	434257253694
STPT(10)	1033678287587711279	0 2 48 50 90 92 132 134 180 182	459431823612
STPT(10)	1033678405923814769	0 2 18 20 30 32 42 44 60 62	577767927102