Prime p₀= 2872739222647940957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 16 2 112 2 106 2 46 2 (?)
a_n: 0 2 54 56 132 134 150 152 264 266 372 374 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 52 76 16 112 106 46

SPT(16)	2872737103728532021	0 10 18 60 88 112 148 238 252 342 378 402 430 472 480 490	-2118919408936
SPT(16)	2872737132586202969	0 42 84 114 140 152 162 170 174 182 192 204 230 260 302 344	-2090061737988
STPT(10)	2872737490740031667	0 2 30 32 42 44 54 56 84 86	-1731907909290
STPT(10)	2872738235520435167	0 2 30 32 42 44 54 56 84 86	-987127505790
TPT(14)	2872738270862645279	0 2 12 14 48 50 78 80 150 152 210 212 222 224	-951785295678
STPT(10)	2872738972967312717	0 2 30 32 72 74 114 116 144 146	-249680628240
STPT(10)	2872739476723058207	0 2 42 44 72 74 102 104 144 146	254075117250
SPT(16)	2872740145414759121	0 50 60 62 140 152 176 182 186 192 216 228 306 308 318 368	922766818164
STPT(10)	2872740220621386677	0 2 42 44 72 74 102 104 144 146	997973445720
TPT(14)	2872740311210622779	0 2 12 14 78 80 108 110 258 260 300 302 348 350	1088562681822
SPT(16)	2872740731978999591	0 36 56 92 98 108 176 182 216 222 290 300 306 342 362 398	1509331058634