Prime p₀= 1339902181912516991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 172 2 106 2 16 2 22 2 (?)
a_n: 0 2 66 68 96 98 270 272 378 380 396 398 420 422
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: 422
Found by: arkiss
db: batch=77, k=14, 64 28 172 106 16 22

SPT(16)	1339901721454078481	0 2 30 56 66 152 212 270 278 336 396 482 492 518 546 548	-460458438510
SPT(16)	1339901779339598081	0 32 38 62 66 78 80 146 162 228 230 242 246 270 276 308	-402572918910
SPT(16)	1339901948656401467	0 30 32 44 60 72 102 116 120 134 164 176 192 204 206 236	-233256115524
SPT(18)	1339901989499040937	0 30 102 112 114 120 156 172 214 222 264 280 316 322 324 334 406 436	-192413476054
STPT(10)	1339901994179308319	0 2 42 44 90 92 138 140 180 182	-187733208672
SPT(16)	1339902061505311417	0 40 66 70 166 192 196 246 256 306 310 336 432 436 462 502	-120407205574
SPT(18)	1339902194606989327	0 40 54 66 112 156 166 172 184 222 234 240 250 294 340 352 366 406	12694472336
STPT(10)	1339902415004152169	0 2 18 20 30 32 42 44 60 62	233091635178
SPT(16)	1339902739878004363	0 28 46 78 84 88 106 154 180 228 246 250 256 288 306 334	557965487372
STPT(10)	1339902795155625299	0 2 18 20 30 32 42 44 60 62	613243108308
STPT(10)	1339902867418249637	0 2 24 26 42 44 60 62 84 86	685505732646