Prime p₀= 872546065576884197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 16 2 88 2 40 2 16 2 (?)
a_n: 0 2 30 32 102 104 120 122 210 212 252 254 270 272
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: RFGuy_KCCO
db: batch=73, k=14, 28 70 16 88 40 16

SPT(16)	872545432261422901	0 42 60 100 102 108 112 120 178 186 190 196 198 238 256 298	-633315461296
TPT(14)	872545443741266807	0 2 30 32 54 56 114 116 120 122 204 206 252 254	-621835617390
STPT(10)	872545517126714399	0 2 48 50 90 92 132 134 180 182	-548450169798
SPT(16)	872545561803387623	0 6 56 74 84 98 138 144 170 176 216 230 240 258 308 314	-503773496574
STPT(10)	872545575618849929	0 2 18 20 30 32 42 44 60 62	-489958034268
SPT(16)	872545619162607217	0 34 36 70 76 84 94 112 114 132 142 150 156 190 192 226	-446414276980
STPT(10)	872546138910695069	0 2 18 20 30 32 42 44 60 62	73333810872
SPT(16)	872546211596673461	0 50 108 150 168 180 182 228 260 306 308 320 338 380 438 488	146019789264
STPT(10)	872546482948457927	0 2 30 32 42 44 54 56 84 86	417371573730
SPT(18)	872546525706923623	0 6 10 70 90 136 166 190 220 234 264 288 318 364 384 444 448 454	460130039426
SPT(16)	872546853403296289	0 18 22 54 60 72 124 142 150 168 220 232 238 270 274 292	787826412092