Prime p₀= 202733888043186221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 76 2 10 2 124 2 10 2 (?)
a_n: 0 2 78 80 120 122 198 200 210 212 336 338 348 350
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: 350
Found by: LeChat51X
db: batch=69, k=14, 76 40 76 10 124 10

SPT(14)	202733827445611411	0 22 42 46 66 96 112 120 136 166 186 190 210 232	-60597574810
TPT(12)	202733848650279731	0 2 36 38 96 98 120 122 180 182 210 212	-39392906490
SPT(14)	202733851937305621	0 22 28 30 58 72 76 192 196 210 238 240 246 268	-36105880600
TPT(12)	202733867469723041	0 2 60 62 90 92 168 170 180 182 240 242	-20573463180
SPT(14)	202733872460822831	0 20 56 72 156 198 206 252 260 302 386 402 438 458	-15582363390
SPT(14)	202733873316246631	0 22 46 60 66 76 106 132 162 172 178 192 216 238	-14726939590
SPT(14)	202733890979984027	0 14 24 30 44 66 72 164 170 192 206 212 222 236	2936797806
SPT(16)	202733897511668189	0 14 20 32 38 42 62 78 104 120 140 144 150 162 168 182	9468481968
SPT(14)	202733902236999307	0 4 52 70 172 192 196 300 304 324 426 444 492 496	14193813086
TPT(12)	202733903985723767	0 2 150 152 192 194 252 254 282 284 294 296	15942537546
SPT(14)	202733911658784677	0 6 110 114 146 162 164 222 224 240 272 276 380 386	23615598456