Prime p₀= 802793942931608741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 40 2 28 2 4 2 (?)
a_n: 0 2 36 38 66 68 78 80 120 122 150 152 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 34 28 10 40 28 4

SPT(16)	802792852072562723	0 30 36 38 56 66 78 86 120 128 140 150 168 170 176 206	-1090859046018
SPT(16)	802793367003519791	0 30 32 102 110 132 168 180 230 242 278 300 308 378 380 410	-575928088950
SPT(16)	802793478420932587	0 24 30 40 54 64 70 96 154 180 186 196 210 220 226 250	-464510676154
STPT(10)	802793602719159377	0 2 60 62 72 74 84 86 144 146	-340212449364
STPT(10)	802793615531500169	0 2 132 134 150 152 168 170 300 302	-327400108572
SPT(16)	802793733820604671	0 10 18 40 66 78 88 120 136 168 178 190 216 238 246 256	-209111004070
SPT(16)	802794139422359351	0 42 60 78 158 168 180 210 218 248 260 270 350 368 386 428	196490750610
SPT(16)	802794233855584801	0 6 36 70 108 130 132 136 162 166 168 190 228 262 292 298	290923976060
SPT(16)	802794240511168291	0 12 36 46 58 72 102 106 162 166 196 210 222 232 256 268	297579559550
STPT(10)	802794435167807837	0 2 30 32 42 44 54 56 84 86	492236199096
STPT(10)	802794500482920107	0 2 30 32 42 44 54 56 84 86	557551311366