Prime p₀= 2853817725604612937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 10 2 136 2 10 2 4 2 (?)
a_n: 0 2 120 122 132 134 144 146 282 284 294 296 300 302
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: [SG-FC] hl
db: batch=82, k=14, 118 10 10 136 10 4

TPT(14)	2853816435558968069	0 2 12 14 78 80 150 152 180 182 240 242 420 422	-1290045644868
STPT(10)	2853816574506108851	0 2 6 8 48 50 90 92 96 98	-1151098504086
STPT(10)	2853816584388908189	0 2 18 20 60 62 102 104 120 122	-1141215704748
SPT(16)	2853816633549092791	0 30 42 48 52 66 82 90 118 126 142 156 160 166 178 208	-1092055520146
SPT(16)	2853816837288809291	0 8 18 56 78 102 128 152 186 210 236 260 282 320 330 338	-888315803646
SPT(16)	2853817132034965687	0 24 30 42 52 82 90 112 162 184 192 222 232 244 250 274	-593569647250
STPT(10)	2853818087420685557	0 2 12 14 42 44 72 74 84 86	361816072620
STPT(10)	2853818113980438287	0 2 12 14 72 74 132 134 144 146	388375825350
STPT(10)	2853818237059550729	0 2 42 44 90 92 138 140 180 182	511454937792
STPT(10)	2853818490513048587	0 2 12 14 42 44 72 74 84 86	764908435650
STPT(10)	2853818722493890421	0 2 6 8 48 50 90 92 96 98	996889277484