Prime p₀= 2392810883093843057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 10 2 16 2 10 2 10 2 (?)
a_n: 0 2 24 26 30 32 42 44 60 62 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=14, 22 4 10 16 10 10

SPT(16)	2392809218069434771	0 18 28 36 40 46 76 90 118 132 162 168 172 180 190 208	-1665024408286
STPT(10)	2392809640390700759	0 2 42 44 90 92 138 140 180 182	-1242703142298
SPT(16)	2392809653465748217	0 22 42 54 60 64 70 96 130 156 162 166 172 184 204 226	-1229628094840
SPT(16)	2392809830083936033	0 78 108 114 130 154 198 210 214 226 270 294 310 316 346 424	-1053009907024
SPT(16)	2392809955010723179	0 60 78 84 88 208 214 250 252 288 294 414 418 424 442 502	-928083119878
STPT(10)	2392810725903230819	0 2 18 20 30 32 42 44 60 62	-157190612238
SPT(16)	2392811779490261341	0 18 46 78 90 108 142 172 216 246 280 298 310 342 370 388	896396418284
STPT(10)	2392811881299269231	0 2 6 8 48 50 90 92 96 98	998205426174
SPT(16)	2392812292014667741	0 58 78 150 162 232 238 270 280 312 318 388 400 472 492 550	1408920824684
STPT(10)	2392812488709838301	0 2 78 80 138 140 198 200 276 278	1605615995244
STPT(10)	2392812893166376997	0 2 30 32 42 44 54 56 84 86	2010072533940