Prime p₀= 2350330914227310251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 52 2 28 2 4 2 10 2 (?)
a_n: 0 2 18 20 96 98 150 152 180 182 186 188 198 200
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: 200
Found by: Landjunge
db: batch=81, k=14, 16 76 52 28 4 10

SPT(16)	2350329846845779657	0 52 70 102 112 132 144 190 234 280 292 312 322 354 372 424	-1067381530594
SPT(16)	2350330132370039983	0 16 60 66 78 100 108 126 220 238 246 268 280 286 330 346	-781857270268
STPT(12)	2350330321852342469	0 2 12 14 48 50 132 134 168 170 180 182	-592374967782
STPT(10)	2350330393889282741	0 2 96 98 138 140 180 182 276 278	-520338027510
SPT(16)	2350330426985079199	0 40 58 112 118 160 178 222 238 282 300 342 348 402 420 460	-487242231052
STPT(10)	2350330511375105681	0 2 36 38 78 80 120 122 156 158	-402852204570
SPT(16)	2350330987922187967	0 12 36 46 90 120 130 142 144 156 166 196 240 250 274 286	73694877716
SPT(16)	2350331035759169191	0 16 46 60 70 78 106 108 148 150 178 186 196 210 240 256	121531858940
TPT(14)	2350331102318262389	0 2 60 62 198 200 210 212 228 230 240 242 252 254	188090952138
STPT(10)	2350331140984952537	0 2 24 26 42 44 60 62 84 86	226757642286
STPT(10)	2350331167323441899	0 2 42 44 60 62 78 80 120 122	253096131648