Prime p₀= 3016209396564995219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 16 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122 138 140
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: 140
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 34 28 10 16

SPT(16)	3016207879748560951	0 18 28 42 72 156 202 238 240 276 322 406 436 450 460 478	-1516816434268
STPT(10)	3016207896542695409	0 2 18 20 60 62 102 104 120 122	-1500022299810
STPT(10)	3016207976075746061	0 2 30 32 78 80 126 128 156 158	-1420489249158
SPT(16)	3016208026788716653	0 10 40 48 88 124 166 204 220 258 300 336 376 384 414 424	-1369776278566
STPT(10)	3016208612289816257	0 2 12 14 42 44 72 74 84 86	-784275178962
SPT(16)	3016209229034739917	0 6 20 26 50 60 62 102 134 174 176 186 210 216 230 236	-167530255302
STPT(12)	3016209396564995219	0 2 12 14 42 44 78 80 108 110 120 122	0
STPT(10)	3016209635239375877	0 2 30 32 42 44 54 56 84 86	238674380658
SPT(16)	3016209828531315769	0 34 42 48 112 118 190 192 220 222 294 300 364 370 378 412	431966320550
STPT(10)	3016209896278537949	0 2 48 50 90 92 132 134 180 182	499713542730
STPT(10)	3016209901176591011	0 2 6 8 48 50 90 92 96 98	504611595792