Prime p₀= 949895056218525161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 106 2 46 2 10 2 40 2 28 2 (?)
a_n: 0 2 180 182 288 290 336 338 348 350 390 392 420 422
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: HenkM
db: batch=76, k=14, 178 106 46 10 40 28

SPT(16)	949893907725549893	0 74 78 84 98 138 170 200 204 234 266 306 320 326 330 404	-1148492975268
STPT(10)	949894150211139167	0 2 60 62 72 74 84 86 144 146	-906007385994
STPT(10)	949894346211554501	0 2 6 8 18 20 30 32 36 38	-710006970660
SPT(16)	949894497763861673	0 8 48 50 78 104 150 156 308 314 360 386 414 416 456 464	-558454663488
STPT(10)	949894756762235951	0 2 6 8 18 20 30 32 36 38	-299456289210
STPT(10)	949894891604008451	0 2 6 8 48 50 90 92 96 98	-164614516710
SPT(16)	949895112768724597	0 10 30 70 114 160 184 220 234 270 294 340 384 424 444 454	56550199436
SPT(16)	949895149181125517	0 24 80 102 140 164 186 200 216 230 252 276 314 336 392 416	92962600356
SPT(16)	949895675723268187	0 6 36 42 64 96 106 132 154 180 190 222 244 250 280 286	619504743026
SPT(16)	949895679834388841	0 26 32 120 126 152 186 192 236 242 276 302 308 396 402 428	623615863680
STPT(10)	949895937798655877	0 2 12 14 42 44 72 74 84 86	881580130716