Prime p₀= 1246943923533681419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 88 2 28 2 40 2 16 2 (?)
a_n: 0 2 12 14 90 92 180 182 210 212 252 254 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: emoga
db: batch=77, k=14, 10 76 88 28 40 16

STPT(10)	1246943081085828821	0 2 36 38 78 80 120 122 156 158	-842447852598
STPT(10)	1246943102802160199	0 2 42 44 60 62 78 80 120 122	-820731521220
STPT(10)	1246943199213601889	0 2 18 20 30 32 42 44 60 62	-724320079530
SPT(16)	1246943614240332377	0 6 14 26 74 120 150 176 234 260 290 336 384 396 404 410	-309293349042
SPT(16)	1246943657531608037	0 36 74 134 144 156 180 222 224 266 290 302 312 372 410 446	-266002073382
STPT(10)	1246943713228297751	0 2 6 8 18 20 30 32 36 38	-210305383668
SPT(16)	1246943963380326271	0 58 60 76 82 88 100 130 168 198 210 216 222 238 240 298	39846644852
STPT(10)	1246944419355866051	0 2 6 8 18 20 30 32 36 38	495822184632
SPT(16)	1246944439969402397	0 20 32 44 54 62 90 110 144 164 192 200 210 222 234 254	516435720978
STPT(10)	1246944522970436837	0 2 30 32 42 44 54 56 84 86	599436755418
SPT(16)	1246944625880428807	0 10 12 34 52 70 96 120 166 190 216 234 252 274 276 286	702346747388