Prime p₀= 95656352833774631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 16 2 178 2 16 2 40 2 (?)
a_n: 0 2 66 68 90 92 108 110 288 290 306 308 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=67, k=14, 64 22 16 178 16 40

SPT(14)	95656304545885459	0 10 18 112 148 150 168 232 250 252 288 382 390 400	-48287889172
SPT(14)	95656306465540859	0 8 20 24 30 38 108 110 180 188 194 198 210 218	-46368233772
SPT(14)	95656323127369637	0 44 66 86 90 120 132 164 176 206 210 230 252 296	-29706404994
SPT(16)	95656323201797101	0 22 42 66 72 90 102 130 132 160 172 190 196 220 240 262	-29631977530
TPT(12)	95656331131186121	0 2 48 50 126 128 168 170 228 230 240 242	-21702588510
SPT(14)	95656345943464543	0 6 28 40 48 58 96 238 276 286 294 306 328 334	-6890310088
SPT(14)	95656354784279761	0 10 40 52 82 90 96 106 112 120 150 162 192 202	1950505130
SPT(14)	95656369152207427	0 16 42 76 82 100 142 144 186 204 210 244 270 286	16318432796
SPT(14)	95656369474789219	0 12 24 42 52 54 78 94 118 120 130 148 160 172	16641014588
SPT(14)	95656385238380353	0 30 36 78 100 114 136 168 190 204 226 268 274 304	32404605722
SPT(14)	95656407876870941	0 20 48 60 78 92 102 116 126 140 158 170 198 218	55043096310