Prime p₀= 868056531720250967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 28 2 28 2 52 2 16 2 (?)
a_n: 0 2 24 26 90 92 120 122 150 152 204 206 222 224
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: 224
Found by: RFGuy_KCCO
db: batch=73, k=14, 22 64 28 28 52 16

SPT(16)	868055410613532943	0 16 28 40 84 88 114 154 300 340 366 370 414 426 438 454	-1121106718024
STPT(10)	868055434436637437	0 2 12 14 42 44 72 74 84 86	-1097283613530
STPT(10)	868055599006245677	0 2 24 26 42 44 60 62 84 86	-932714005290
SPT(16)	868056065368901989	0 24 34 42 52 54 112 130 132 150 208 210 220 228 238 262	-466351348978
SPT(16)	868056330893981687	0 6 20 24 30 42 44 72 104 132 134 146 152 156 170 176	-200826269280
SPT(16)	868056364116996889	0 42 72 94 102 108 154 174 238 258 304 310 318 340 370 412	-167603254078
STPT(10)	868057087804038059	0 2 12 14 90 92 168 170 180 182	556083787092
STPT(10)	868057169265445799	0 2 48 50 90 92 132 134 180 182	637545194832
SPT(16)	868057217253717763	0 166 186 228 244 250 328 340 384 396 474 480 496 538 558 724	685533466796
STPT(10)	868057362825061889	0 2 18 20 30 32 42 44 60 62	831104810922
SPT(16)	868057408310539441	0 16 18 42 52 88 108 142 156 190 210 246 256 280 282 298	876590288474