Prime p₀= 2886017997191827829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 52 2 106 2 46 2 10 2 (?)
a_n: 0 2 42 44 78 80 132 134 240 242 288 290 300 302
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: 302
Found by: Landjunge
db: batch=82, k=14, 40 34 52 106 46 10

STPT(10)	2886016651686102917	0 2 54 56 132 134 210 212 264 266	-1345505724912
STPT(10)	2886017031104110919	0 2 78 80 120 122 162 164 240 242	-966087716910
SPT(16)	2886017480653459193	0 18 38 60 116 140 144 156 158 170 174 198 254 276 296 314	-516538368636
STPT(10)	2886017517378718319	0 2 18 20 60 62 102 104 120 122	-479813109510
STPT(10)	2886017587345365167	0 2 60 62 102 104 144 146 204 206	-409846462662
SPT(16)	2886017636385891577	0 16 22 34 42 82 142 150 166 174 234 274 282 294 300 316	-360805936252
STPT(12)	2886018677910692477	0 2 24 26 114 116 150 152 240 242 264 266	680718864648
TPT(14)	2886019188962441471	0 2 30 32 90 92 168 170 186 188 198 200 210 212	1191770613642
STPT(10)	2886019398593760641	0 2 36 38 78 80 120 122 156 158	1401401932812
STPT(10)	2886019791549041501	0 2 6 8 48 50 90 92 96 98	1794357213672
SPT(16)	2886019868027150147	0 12 42 56 60 62 66 96 116 146 150 152 156 170 200 212	1870835322318