Prime p₀= 3018962790283941131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 10 2 10 2 106 2 46 2 (?)
a_n: 0 2 96 98 156 158 168 170 180 182 288 290 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 94 58 10 10 106 46

SPT(16)	3018961491271995341	0 8 18 20 42 90 122 132 158 168 200 248 270 272 282 290	-1299011945790
STPT(10)	3018961586643541697	0 2 54 56 72 74 90 92 144 146	-1203640399434
SPT(16)	3018961793978974637	0 6 14 30 36 54 56 84 92 120 122 140 146 162 170 176	-996304966494
STPT(10)	3018961891928024591	0 2 6 8 48 50 90 92 96 98	-898355916540
STPT(12)	3018962156547899789	0 2 12 14 42 44 78 80 108 110 120 122	-633736041342
STPT(10)	3018962764146974327	0 2 42 44 72 74 102 104 144 146	-26136966804
SPT(16)	3018962978437646813	0 6 20 26 30 44 66 96 158 188 210 224 228 234 248 254	188153705682
STPT(10)	3018963020059388921	0 2 30 32 78 80 126 128 156 158	229775447790
SPT(16)	3018963663546393313	0 78 108 130 148 160 168 174 190 196 204 216 234 256 286 364	873262452182
SPT(16)	3018963939149253803	0 8 24 44 114 140 186 200 204 218 264 290 360 380 396 404	1148865312672
STPT(10)	3018964284884426909	0 2 18 20 30 32 42 44 60 62	1494600485778