Prime p₀= 1396893664500824099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 28 2 4 2 130 2 16 2 (?)
a_n: 0 2 78 80 162 164 192 194 198 200 330 332 348 350
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: Steve Dodd
db: batch=77, k=14, 76 82 28 4 130 16

TPT(14)	1396891664057366339	0 2 30 32 102 104 168 170 198 200 282 284 330 332	-2000443457760
SPT(16)	1396891827127303207	0 12 42 84 100 106 136 154 192 210 240 246 262 304 334 346	-1837373520892
SPT(16)	1396892269047360203	0 30 56 84 98 150 210 216 308 314 374 426 440 468 494 524	-1395453463896
SPT(16)	1396892485239729581	0 6 32 42 48 68 120 138 140 158 210 230 236 246 272 278	-1179261094518
SPT(16)	1396892492153286353	0 30 56 86 96 144 198 210 224 236 290 338 348 378 404 434	-1172347537746
STPT(10)	1396893100118360417	0 2 42 44 72 74 102 104 144 146	-564382463682
TPT(14)	1396893673503441887	0 2 12 14 72 74 90 92 114 116 132 134 174 176	9002617788
SPT(16)	1396893793497432437	0 12 50 54 62 84 104 116 120 132 152 174 182 186 224 236	128996608338
STPT(10)	1396894318282456319	0 2 18 20 30 32 42 44 60 62	653781632220
STPT(10)	1396894470838726721	0 2 36 38 78 80 120 122 156 158	806337902622
STPT(10)	1396895151063297131	0 2 36 38 78 80 120 122 156 158	1486562473032