Prime p₀= 812590197646080881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 76 2 76 2 40 2 46 2 (?)
a_n: 0 2 18 20 30 32 108 110 186 188 228 230 276 278
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: 278
Found by: KPX
db: batch=73, k=14, 16 10 76 76 40 46

SPT(16)	812589545710045403	0 14 24 26 56 174 180 186 314 320 326 444 474 476 486 500	-651936035478
STPT(10)	812589566453855159	0 2 48 50 90 92 132 134 180 182	-631192225722
SPT(16)	812589710225099623	0 10 60 66 78 84 126 144 220 238 280 286 298 304 354 364	-487420981258
SPT(16)	812589830961541037	0 6 44 66 74 104 116 140 216 240 252 282 290 312 350 356	-366684539844
SPT(16)	812590022012991349	0 30 52 54 72 114 130 138 154 162 178 220 238 240 262 292	-175633089532
SPT(16)	812590159715308327	0 22 36 42 66 94 96 136 150 190 192 220 244 250 264 286	-37930772554
STPT(10)	812590425025716437	0 2 42 44 72 74 102 104 144 146	227379635556
STPT(10)	812590554513537089	0 2 12 14 90 92 168 170 180 182	356867456208
TPT(14)	812591244696169361	0 2 36 38 66 68 150 152 168 170 210 212 216 218	1047050088480
SPT(16)	812591430726389653	0 28 48 120 138 150 190 234 304 348 388 400 418 490 510 538	1233080308772
STPT(10)	812591471801857217	0 2 30 32 42 44 54 56 84 86	1274155776336