Prime p₀= 2179892065688109569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 4 2 58 2 28 2 22 2 16 2 (?)
a_n: 0 2 102 104 108 110 168 170 198 200 222 224 240 242
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: JayPi
db: batch=81, k=14, 100 4 58 28 22 16

STPT(10)	2179889926216507247	0 2 30 32 42 44 54 56 84 86	-2139471602322
TPT(14)	2179890212300416337	0 2 54 56 72 74 150 152 192 194 210 212 294 296	-1853387693232
SPT(16)	2179890308780448037	0 12 30 54 100 112 114 124 132 142 144 156 202 226 244 256	-1756907661532
SPT(16)	2179890480418147543	0 30 36 96 100 138 168 186 250 268 298 336 340 400 406 436	-1585269962026
SPT(16)	2179890722169677941	0 6 40 58 88 100 160 162 166 168 228 240 270 288 322 328	-1343518431628
STPT(10)	2179890998984875019	0 2 18 20 30 32 42 44 60 62	-1066703234550
STPT(10)	2179892302235698019	0 2 12 14 30 32 48 50 60 62	236547588450
SPT(16)	2179892315541420773	0 68 74 98 116 126 168 174 200 206 248 258 276 300 306 374	249853311204
STPT(10)	2179892322517145837	0 2 30 32 42 44 54 56 84 86	256829036268
SPT(16)	2179892397018084193	0 34 54 70 76 96 148 154 180 186 238 258 264 280 300 334	331329974624
STPT(10)	2179892410963383659	0 2 12 14 90 92 168 170 180 182	345275274090