Prime p₀= 1878332961345316757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 76 2 16 2 22 2 16 2 16 2 (?)
a_n: 0 2 84 86 162 164 180 182 204 206 222 224 240 242
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: 242
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 82 76 16 22 16 16

SPT(16)	1878332026084947859	0 4 10 34 54 70 112 130 132 150 192 208 228 252 258 262	-935260368898
SPT(16)	1878332064955962389	0 2 14 48 60 90 120 134 138 152 182 212 224 258 270 272	-896389354368
SPT(16)	1878332259988676501	0 18 20 72 92 98 126 168 260 302 330 336 356 408 410 428	-701356640256
STPT(10)	1878332294372065289	0 2 18 20 30 32 42 44 60 62	-666973251468
SPT(16)	1878332586593027171	0 18 68 78 98 132 138 140 180 182 188 222 242 252 302 320	-374752289586
SPT(16)	1878332801415362353	0 28 34 48 66 70 76 106 138 168 174 178 196 210 216 244	-159929954404
STPT(10)	1878333380957536331	0 2 6 8 48 50 90 92 96 98	419612219574
SPT(16)	1878333384713118391	0 100 132 168 196 198 232 298 300 366 400 402 430 466 498 598	423367801634
SPT(16)	1878333572243023459	0 4 12 58 70 84 132 160 252 280 328 342 354 400 408 412	610897706702
STPT(10)	1878333764318032457	0 2 42 44 72 74 102 104 144 146	802972715700
SPT(16)	1878333894210495401	0 26 66 72 80 102 110 116 162 168 176 198 206 212 252 278	932865178644