Prime p₀= 1033676895967272251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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 34 2 40 2

SPT(16)	1033673865111770473	0 28 30 54 66 96 120 126 148 154 178 208 220 244 246 274	-3030855501778
SPT(16)	1033674090648086731	0 18 22 46 60 100 160 172 186 198 258 298 312 336 340 358	-2805319185520
SPT(16)	1033674451520272103	0 14 20 38 44 50 68 104 114 150 168 174 180 198 204 218	-2444447000148
SPT(16)	1033674481001259221	0 18 98 102 108 116 158 192 236 270 312 320 326 330 410 428	-2414966013030
SPT(16)	1033675332124913537	0 56 80 92 122 140 152 180 236 264 276 294 324 336 360 416	-1563842358714
STPT(12)	1033676633209493849	0 2 30 32 42 44 78 80 90 92 120 122	-262757778402
STPT(10)	1033677280858702817	0 2 30 32 42 44 54 56 84 86	384891430566
SPT(16)	1033677342632670007	0 16 46 100 150 186 192 216 220 244 250 286 336 390 420 436	446665397756
STPT(10)	1033677386607163547	0 2 30 32 42 44 54 56 84 86	490639891296
SPT(16)	1033677794194544911	0 12 40 46 58 90 118 126 142 150 178 210 222 228 256 268	898227272660
STPT(10)	1033677828155887667	0 2 30 32 42 44 54 56 84 86	932188615416