Prime p₀= 1069501929409907627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 28 2 40 2 34 2 28 2 (?)
a_n: 0 2 60 62 102 104 132 134 174 176 210 212 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 58 40 28 40 34 28

SPT(16)	1069500454381056637	0 66 70 106 130 132 156 172 174 190 214 216 240 276 280 346	-1475028850990
TPT(14)	1069500639362510189	0 2 42 44 72 74 162 164 168 170 240 242 282 284	-1290047397438
SPT(16)	1069501233456759427	0 4 22 34 42 100 106 156 190 240 246 304 312 324 342 346	-695953148200
STPT(10)	1069501312909629659	0 2 42 44 90 92 138 140 180 182	-616500277968
STPT(10)	1069501363421709767	0 2 42 44 132 134 222 224 264 266	-565988197860
STPT(10)	1069501785468192677	0 2 30 32 42 44 54 56 84 86	-143941714950
SPT(16)	1069502567087763187	0 10 30 46 84 112 124 126 280 282 294 322 360 376 396 406	637677855560
SPT(16)	1069502956988115109	0 22 40 52 78 144 154 174 208 228 238 304 330 342 360 382	1027578207482
SPT(16)	1069502971115244649	0 84 112 184 214 222 280 282 310 312 370 378 408 480 508 592	1041705337022
STPT(10)	1069503478955499557	0 2 54 56 72 74 90 92 144 146	1549545591930
SPT(16)	1069503523111226737	0 70 130 132 162 210 244 252 262 270 304 352 382 384 444 514	1593701319110