Prime p₀= 1246943713228297751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: emoga
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1246943046101312281	0 16 28 36 66 78 112 130 168 186 220 232 262 270 282 298	-667126985470
STPT(10)	1246943081085828821	0 2 36 38 78 80 120 122 156 158	-632142468930
STPT(10)	1246943102802160199	0 2 42 44 60 62 78 80 120 122	-610426137552
STPT(10)	1246943199213601889	0 2 18 20 30 32 42 44 60 62	-514014695862
SPT(16)	1246943614240332377	0 6 14 26 74 120 150 176 234 260 290 336 384 396 404 410	-98987965374
SPT(16)	1246943657531608037	0 36 74 134 144 156 180 222 224 266 290 302 312 372 410 446	-55696689714
TPT(14)	1246943923533681419	0 2 12 14 90 92 180 182 210 212 252 254 270 272	210305383668
SPT(16)	1246943963380326271	0 58 60 76 82 88 100 130 168 198 210 216 222 238 240 298	250152028520
STPT(10)	1246944419355866051	0 2 6 8 18 20 30 32 36 38	706127568300
SPT(16)	1246944439969402397	0 20 32 44 54 62 90 110 144 164 192 200 210 222 234 254	726741104646
STPT(10)	1246944522970436837	0 2 30 32 42 44 54 56 84 86	809742139086