Prime p₀= 1033678262413141361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 28 2 46 2

SPT(16)	1033677342632670007	0 16 46 100 150 186 192 216 220 244 250 286 336 390 420 436	-919780471354
STPT(10)	1033677386607163547	0 2 30 32 42 44 54 56 84 86	-875805977814
SPT(16)	1033677794194544911	0 12 40 46 58 90 118 126 142 150 178 210 222 228 256 268	-468218596450
STPT(10)	1033677828155887667	0 2 30 32 42 44 54 56 84 86	-434257253694
SPT(16)	1033677942090995251	0 18 22 36 40 72 88 100 108 120 136 168 172 186 190 208	-320322146110
SPT(16)	1033678132340726407	0 12 16 22 40 64 112 142 174 204 252 276 294 300 304 316	-130072414954
STPT(10)	1033678287587711279	0 2 48 50 90 92 132 134 180 182	25174569918
STPT(10)	1033678405923814769	0 2 18 20 30 32 42 44 60 62	143510673408
SPT(16)	1033678586464965839	0 30 48 62 68 80 98 102 110 114 132 144 150 164 182 212	324051824478
STPT(10)	1033678622690501927	0 2 60 62 72 74 84 86 144 146	360277360566
SPT(16)	1033678811391611039	0 18 20 78 98 132 158 180 182 204 230 264 284 342 344 362	548978469678