Prime p₀= 801239710448714387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 64 2 88 2 28 2 10 2 40 2 (?)
a_n: 0 2 114 116 180 182 270 272 300 302 312 314 354 356
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: 356
Found by: schoussi
db: batch=73, k=14, 112 64 88 28 10 40

SPT(16)	801238654665800837	0 12 14 26 30 36 72 92 114 134 170 176 180 192 194 206	-1055782913550
SPT(16)	801238656684988829	0 14 60 62 80 104 128 224 258 354 378 402 420 422 468 482	-1053763725558
SPT(16)	801238726743317851	0 10 18 28 58 112 126 132 196 202 216 270 300 310 318 328	-983705396536
STPT(10)	801239623268579819	0 2 30 32 120 122 210 212 240 242	-87180134568
SPT(20)	801239653776522203	0 26 48 60 80 126 150 180 188 228 308 348 356 386 410 456 476 488 510 536	-56672192184
SPT(16)	801239694700060669	0 4 22 30 40 78 84 100 102 118 124 162 172 180 198 202	-15748653718
STPT(10)	801240062583435029	0 2 78 80 120 122 162 164 240 242	352134720642
SPT(16)	801240169467132181	0 28 30 42 48 70 90 120 238 268 288 310 316 328 330 358	459018417794
STPT(10)	801240883304246687	0 2 30 32 42 44 54 56 84 86	1172855532300
STPT(10)	801240986397734537	0 2 54 56 72 74 90 92 144 146	1275949020150
SPT(16)	801241064053488229	0 10 22 28 34 52 58 70 72 84 90 108 114 120 132 142	1353604773842