Prime p₀= 1777231722376772339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 58 2 28 2 70 2 (?)
a_n: 0 2 12 14 42 44 108 110 168 170 198 200 270 272
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: 272
Found by: Dirk Broer
db: batch=79, k=14, 10 28 64 58 28 70

SPT(16)	1777229650256590553	0 150 168 204 210 248 308 314 360 366 426 464 470 506 524 674	-2072120181786
SPT(16)	1777229724820378321	0 42 52 72 78 100 106 148 210 252 258 280 286 306 316 358	-1997556394018
SPT(16)	1777230375858028177	0 34 42 76 102 114 120 132 184 196 202 214 240 274 282 316	-1346518744162
STPT(10)	1777230514898051921	0 2 30 32 120 122 210 212 240 242	-1207478720418
STPT(10)	1777230925161010139	0 2 18 20 30 32 42 44 60 62	-797215762200
STPT(10)	1777231533828037499	0 2 42 44 60 62 78 80 120 122	-188548734840
STPT(10)	1777231726811931581	0 2 36 38 78 80 120 122 156 158	4435159242
TPT(16)	1777231832155868357	0 2 150 152 192 194 234 236 252 254 384 386 390 392 504 506	109779096018
STPT(10)	1777232048345132777	0 2 30 32 72 74 114 116 144 146	325968360438
SPT(16)	1777232143813615859	0 12 18 60 80 102 140 168 212 240 278 300 320 362 368 380	421436843520
TPT(14)	1777232520584778947	0 2 72 74 174 176 240 242 390 392 420 422 450 452	798208006608