Prime p₀= 1222840843203577391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 88 2 40 2 136 2 22 2 28 2 (?)
a_n: 0 2 6 8 96 98 138 140 276 278 300 302 330 332
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: 332
Found by: Megacruncher
db: batch=77, k=14, 4 88 40 136 22 28

SPT(16)	1222840010693725363	0 4 46 60 144 150 184 186 244 246 280 286 370 384 426 430	-832509852028
STPT(10)	1222840133627525261	0 2 36 38 78 80 120 122 156 158	-709576052130
SPT(16)	1222840523947234133	0 8 54 86 90 126 138 146 288 296 308 344 348 380 426 434	-319256343258
TPT(14)	1222840526451024317	0 2 42 44 72 74 174 176 264 266 300 302 312 314	-316752553074
SPT(16)	1222840684086182633	0 14 68 84 134 146 168 216 218 266 288 300 350 366 420 434	-159117394758
SPT(16)	1222840769354812669	0 34 40 52 54 90 124 130 132 138 172 208 210 222 228 262	-73848764722
SPT(16)	1222840993237311457	0 42 64 72 94 100 154 162 184 192 246 252 274 282 304 346	150033734066
STPT(12)	1222841090893532597	0 2 42 44 60 62 84 86 102 104 144 146	247689955206
SPT(16)	1222841377176598507	0 30 60 70 72 96 102 126 130 154 160 184 186 196 226 256	533973021116
STPT(12)	1222841589029916551	0 2 36 38 48 50 78 80 90 92 126 128	745826339160
SPT(16)	1222841599837746899	0 8 30 54 80 98 108 114 134 140 150 168 194 218 240 248	756634169508