Prime p₀= 2946548256036810827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 196 2 76 2 28 2 10 2 (?)
a_n: 0 2 24 26 54 56 252 254 330 332 360 362 372 374
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: 374
Found by: conf [MM]
db: batch=82, k=14, 22 28 196 76 28 10

STPT(10)	2946546049161094307	0 2 54 56 72 74 90 92 144 146	-2206875716520
STPT(10)	2946547448189262059	0 2 18 20 30 32 42 44 60 62	-807847548768
SPT(16)	2946547551176784409	0 12 22 52 54 70 84 138 154 208 222 238 240 270 280 292	-704860026418
SPT(16)	2946547680494552347	0 42 54 66 114 120 124 154 162 192 196 202 250 262 274 316	-575542258480
SPT(16)	2946548119857131731	0 6 12 40 78 102 112 120 208 216 226 250 288 316 322 328	-136179679096
STPT(10)	2946548181387766517	0 2 42 44 72 74 102 104 144 146	-74649044310
STPT(10)	2946549066556802801	0 2 6 8 48 50 90 92 96 98	810519991974
SPT(16)	2946549199574416859	0 2 20 30 38 98 152 168 194 210 264 324 332 342 360 362	943537606032
STPT(10)	2946549249688203317	0 2 12 14 72 74 132 134 144 146	993651392490
STPT(10)	2946549257963429717	0 2 30 32 42 44 54 56 84 86	1001926618890
SPT(16)	2946550449598064737	0 16 42 70 94 124 150 186 190 226 252 282 306 334 360 376	2193561253910