Prime p₀= 2679908105657917031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 64 2 112 2 34 2 (?)
a_n: 0 2 30 32 78 80 120 122 186 188 300 302 336 338
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, 28 46 40 64 112 34

STPT(10)	2679907306889775629	0 2 18 20 60 62 102 104 120 122	-798768141402
SPT(16)	2679907310408348651	0 50 56 72 92 98 122 138 140 156 180 186 206 222 228 278	-795249568380
STPT(10)	2679907463865280457	0 2 12 14 72 74 132 134 144 146	-641792636574
SPT(16)	2679907633352786539	0 10 42 58 70 84 114 132 160 178 208 222 234 250 282 292	-472305130492
STPT(10)	2679907720262762159	0 2 18 20 30 32 42 44 60 62	-385395154872
SPT(16)	2679907727338335733	0 28 46 66 88 94 108 126 148 166 180 186 208 228 246 274	-378319581298
SPT(16)	2679908411525919251	0 2 6 30 62 80 90 126 146 182 192 210 242 266 270 272	305868002220
SPT(16)	2679908764397560211	0 32 42 50 62 90 150 168 182 200 260 288 300 308 318 350	658739643180
STPT(10)	2679908896530320639	0 2 30 32 60 62 90 92 120 122	790872403608
STPT(10)	2679909121974826067	0 2 60 62 72 74 84 86 144 146	1016316909036
STPT(10)	2679909390914627951	0 2 30 32 78 80 126 128 156 158	1285256710920