Prime p₀= 2256147690780006677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 88 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 132 134 222 224 300 302 330 332 342 344
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: 344
Found by: Vitalii Koshura
db: batch=81, k=14, 10 118 88 76 28 10

SPT(16)	2256146735270459747	0 24 56 62 134 156 162 200 216 254 260 282 354 360 392 416	-955509546930
SPT(16)	2256146900530434809	0 20 24 78 134 140 150 162 230 242 252 258 314 368 372 392	-790249571868
SPT(16)	2256146921032009843	0 18 28 36 54 88 94 120 154 180 186 220 238 246 256 274	-769747996834
SPT(16)	2256147246632002289	0 18 62 74 104 108 122 132 140 150 164 168 198 210 254 272	-444148004388
STPT(10)	2256147521755572629	0 2 18 20 30 32 42 44 60 62	-169024434048
STPT(10)	2256147559625447009	0 2 18 20 30 32 42 44 60 62	-131154559668
SPT(16)	2256147761465337941	0 6 32 42 60 62 78 90 218 230 246 248 266 276 302 308	70685331264
STPT(10)	2256147899110028447	0 2 30 32 42 44 54 56 84 86	208330021770
SPT(16)	2256148067286108319	0 42 70 148 168 178 234 258 304 328 384 394 414 492 520 562	376506101642
SPT(16)	2256148535816871233	0 6 14 66 74 90 114 140 174 200 224 240 248 300 308 314	845036864556
SPT(16)	2256148603452794833	0 18 24 96 144 178 228 256 258 286 336 370 418 490 496 514	912672788156