Prime p₀= 800801152902123281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 64 2 58 2 22 2 16 2 (?)
a_n: 0 2 30 32 60 62 126 128 186 188 210 212 228 230
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: 230
Found by: schoussi
db: batch=73, k=14, 28 28 64 58 22 16

SPT(16)	800800248038413919	0 18 48 50 74 90 98 150 182 234 242 258 282 284 314 332	-904863709362
SPT(16)	800800426767788099	0 8 42 48 60 78 98 108 224 234 254 272 284 290 324 332	-726134335182
SPT(16)	800800669683742111	0 42 46 60 70 88 112 130 138 156 180 198 208 222 226 268	-483218381170
SPT(13)	800800802150333477	0 30 84 120 132 150 162 174 192 204 240 294 324	-350751789804
STPT(10)	800801089125936761	0 2 36 38 78 80 120 122 156 158	-63776186520
SPT(16)	800801101253535197	0 6 56 110 114 194 204 210 266 272 282 362 366 420 470 476	-51648588084
TPT(14)	800801316411108107	0 2 42 44 54 56 102 104 132 134 144 146 174 176	163508984826
SPT(16)	800801320602983737	0 4 30 70 72 76 130 142 174 186 240 244 246 286 312 316	167700860456
STPT(10)	800801723989247801	0 2 6 8 18 20 30 32 36 38	571087124520
SPT(16)	800801777150244971	0 62 66 72 110 128 168 192 236 260 300 318 356 362 366 428	624248121690
SPT(16)	800801778855329957	0 14 24 30 44 66 102 116 150 164 200 222 236 242 252 266	625953206676