Prime p₀= 2946523192138779509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 76 2 16 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 180 182 198 200 240 242 300 302
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: 302
Found by: conf [MM]
db: batch=82, k=14, 58 40 76 16 40 58

SPT(16)	2946522468579790151	0 86 90 98 212 218 252 260 288 296 330 336 450 458 462 548	-723558989358
STPT(10)	2946522856708806041	0 2 6 8 18 20 30 32 36 38	-335429973468
SPT(16)	2946522905785871473	0 28 36 40 48 54 64 90 154 180 190 196 204 208 216 244	-286352908036
TPT(14)	2946522944323721531	0 2 18 20 30 32 60 62 168 170 198 200 420 422	-247815057978
STPT(10)	2946523006048232657	0 2 12 14 72 74 132 134 144 146	-186090546852
STPT(10)	2946523123548513317	0 2 12 14 72 74 132 134 144 146	-68590266192
SPT(16)	2946523458871197589	0 4 10 30 48 60 70 90 112 132 142 154 172 192 198 202	266732418080
SPT(16)	2946523498774875497	0 56 74 86 104 170 206 234 266 294 330 396 414 426 444 500	306636095988
SPT(16)	2946524280715778449	0 24 42 100 112 192 240 282 442 484 532 612 624 682 700 724	1088576998940
STPT(10)	2946524286552671567	0 2 30 32 42 44 54 56 84 86	1094413892058
STPT(10)	2946524539084503659	0 2 42 44 60 62 78 80 120 122	1346945724150