Prime p₀= 1231696481014043969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 88 2 10 2 10 2 16 2 (?)
a_n: 0 2 72 74 108 110 198 200 210 212 222 224 240 242
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: Theadalus
db: batch=77, k=14, 70 34 88 10 10 16

TPT(14)	1231695900280649099	0 2 18 20 30 32 60 62 90 92 132 134 168 170	-580733394870
STPT(10)	1231695966259514837	0 2 42 44 72 74 102 104 144 146	-514754529132
SPT(16)	1231695984618193517	0 24 30 56 62 80 164 174 212 222 306 324 330 356 362 386	-496395850452
SPT(16)	1231695996016666867	0 16 22 30 36 46 64 66 100 102 120 130 136 144 150 166	-484997377102
SPT(16)	1231696213551966199	0 108 120 142 154 192 198 220 252 274 280 318 330 352 364 472	-267462077770
SPT(16)	1231696388321622887	0 30 54 60 86 122 126 144 152 170 174 210 236 242 266 296	-92692421082
STPT(10)	1231696665354000917	0 2 30 32 42 44 54 56 84 86	184339956948
STPT(10)	1231696831569739277	0 2 30 32 42 44 54 56 84 86	350555695308
SPT(16)	1231697015818277227	0 22 36 52 72 76 90 112 114 136 150 154 174 190 204 226	534804233258
STPT(12)	1231697122887600737	0 2 42 44 60 62 84 86 102 104 144 146	641873556768
SPT(16)	1231697335737574691	0 20 60 68 86 96 98 152 186 240 242 252 270 278 318 338	854723530722