Prime p₀= 876075540142105337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 16 2 46 2 88 2 (?)
a_n: 0 2 12 14 24 26 84 86 102 104 150 152 240 242
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: RFGuy_KCCO
db: batch=73, k=14, 10 10 58 16 46 88

SPT(16)	876074276042665087	0 6 40 66 84 94 120 136 150 166 192 202 220 246 280 286	-1264099440250
SPT(16)	876074451934785107	0 6 20 30 44 56 60 86 90 116 120 132 146 156 170 176	-1088207320230
SPT(16)	876074831692435097	0 20 30 42 50 72 86 92 204 210 224 246 254 266 276 296	-708449670240
SPT(16)	876074860986564359	0 38 60 102 120 134 150 164 198 212 228 242 260 302 324 362	-679155540978
SPT(16)	876074917289688397	0 54 72 100 112 124 154 184 210 240 270 282 294 322 340 394	-622852416940
SPT(16)	876075226576029323	0 20 26 48 60 68 116 134 180 198 246 254 266 288 294 314	-313566076014
STPT(10)	876075856241667041	0 2 36 38 78 80 120 122 156 158	316099561704
SPT(16)	876076149270664091	0 8 12 50 122 228 248 260 270 282 302 408 480 518 522 530	609128558754
SPT(16)	876076395579167077	0 12 70 84 94 120 142 150 154 162 184 210 220 234 292 304	855437061740
SPT(16)	876076453818252091	0 30 40 58 72 108 118 130 138 150 160 196 210 228 238 268	913676146754
STPT(10)	876076576741000931	0 2 6 8 18 20 30 32 36 38	1036598895594