Prime p₀= 1519395177424234541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 76 2 16 2 70 2 40 2 (?)
a_n: 0 2 30 32 60 62 138 140 156 158 228 230 270 272
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: 272
Found by: xii5ku
db: batch=78, k=14, 28 28 76 16 70 40

STPT(10)	1519393932598597379	0 2 18 20 30 32 42 44 60 62	-1244825637162
SPT(16)	1519393944281160307	0 72 100 150 154 156 180 210 346 376 400 402 406 456 484 556	-1233143074234
SPT(16)	1519394028042311011	0 6 22 28 30 76 90 106 162 178 192 238 240 246 262 268	-1149381923530
SPT(16)	1519394229589381841	0 38 42 66 128 132 146 210 218 282 296 300 362 386 390 428	-947834852700
STPT(10)	1519394821509920627	0 2 30 32 42 44 54 56 84 86	-355914313914
SPT(16)	1519394934059058079	0 22 90 108 118 132 144 160 162 178 190 204 214 232 300 322	-243365176462
SPT(16)	1519395200761441153	0 10 16 40 54 64 76 106 168 198 210 220 234 258 264 274	23337206612
STPT(10)	1519395385899082331	0 2 6 8 48 50 90 92 96 98	208474847790
STPT(10)	1519396280147563709	0 2 48 50 90 92 132 134 180 182	1102723329168
STPT(10)	1519396376957052047	0 2 24 26 42 44 60 62 84 86	1199532817506
TPT(14)	1519396550243282957	0 2 30 32 72 74 162 164 210 212 240 242 264 266	1372819048416