Prime p₀= 2729504302563286097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 58 2 16 2 40 2 10 2 34 2 (?)
a_n: 0 2 132 134 192 194 210 212 252 254 264 266 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 130 58 16 40 10 34

SPT(16)	2729503148068370677	0 12 22 42 76 82 100 112 120 132 150 156 190 210 220 232	-1154494915420
SPT(16)	2729503304280567149	0 2 18 24 48 60 80 102 110 132 152 164 188 194 210 212	-998282718948
TPT(14)	2729503447639089827	0 2 24 26 30 32 54 56 144 146 192 194 270 272	-854924196270
SPT(16)	2729503790840536711	0 36 40 42 72 78 108 138 250 280 310 316 346 348 352 388	-511722749386
SPT(16)	2729503859936936317	0 6 16 34 36 70 160 186 214 240 330 364 366 384 394 400	-442626349780
SPT(16)	2729504268927354839	0 20 32 48 78 90 92 134 138 180 182 194 224 240 252 272	-33635931258
SPT(16)	2729504430959275769	0 2 8 38 50 74 122 158 174 210 258 282 294 324 330 332	128395989672
SPT(16)	2729504588093479577	0 2 6 30 36 54 80 86 90 96 122 140 146 170 174 176	285530193480
STPT(10)	2729504644073089637	0 2 30 32 42 44 54 56 84 86	341509803540
SPT(16)	2729504682691108871	0 6 50 66 72 98 132 156 182 206 240 266 272 288 332 338	380127822774
STPT(10)	2729505320698031339	0 2 48 50 60 62 72 74 120 122	1018134745242