Prime p₀= 3086332044319146977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 10 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 90 92 102 104 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=83, k=14, 28 40 16 10 28 10

SPT(16)	3086329767161734831	0 40 106 108 136 156 168 246 280 358 370 390 418 420 486 526	-2277157412146
STPT(10)	3086329770220843511	0 2 30 32 78 80 126 128 156 158	-2274098303466
TPT(14)	3086330085948965039	0 2 18 20 30 32 42 44 72 74 120 122 240 242	-1958370181938
SPT(16)	3086330339923063511	0 20 42 56 78 80 98 146 222 270 288 290 312 326 348 368	-1704396083466
TPT(14)	3086331126676964951	0 2 36 38 78 80 108 110 168 170 276 278 306 308	-917642182026
TPT(14)	3086331644127981857	0 2 54 56 180 182 210 212 282 284 312 314 324 326	-400191165120
SPT(16)	3086332078800328031	0 6 50 60 72 78 98 120 128 150 170 176 188 198 242 248	34481181054
STPT(10)	3086332185412651991	0 2 6 8 48 50 90 92 96 98	141093505014
STPT(10)	3086333584930863887	0 2 42 44 72 74 102 104 144 146	1540611716910
STPT(10)	3086333833056046721	0 2 30 32 78 80 126 128 156 158	1788736899744
TPT(14)	3086334059167132379	0 2 12 14 48 50 72 74 90 92 168 170 180 182	2014847985402