Prime p₀= 831826788240728237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 10 2 76 2 28 2 16 2 (?)
a_n: 0 2 12 14 102 104 114 116 192 194 222 224 240 242
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 88 10 76 28 16

SPT(16)	831825664929838471	0 72 102 112 120 172 180 198 340 358 366 418 426 436 466 538	-1123310889766
STPT(10)	831825862956947039	0 2 18 20 30 32 42 44 60 62	-925283781198
SPT(16)	831825984996478657	0 6 34 70 96 100 106 120 160 174 180 184 210 246 274 280	-803244249580
TPT(14)	831826108759333799	0 2 12 14 60 62 102 104 150 152 180 182 210 212	-679481394438
STPT(10)	831826543568653229	0 2 42 44 60 62 78 80 120 122	-244672075008
TPT(14)	831826630979548187	0 2 12 14 102 104 144 146 174 176 240 242 294 296	-157261180050
STPT(10)	831826921492634687	0 2 42 44 72 74 102 104 144 146	133251906450
STPT(10)	831826954359069497	0 2 54 56 132 134 210 212 264 266	166118341260
SPT(16)	831827209880658601	0 10 16 42 78 120 126 130 168 172 178 220 256 282 288 298	421639930364
SPT(16)	831827295357654581	0 18 56 86 108 140 150 152 186 188 198 230 252 282 320 338	507116926344
SPT(16)	831827367897966911	0 30 56 72 116 120 126 132 170 176 182 186 230 246 272 302	579657238674