Prime p₀= 788946554185492991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 16 2 22 2 16 2 (?)
a_n: 0 2 36 38 66 68 78 80 96 98 120 122 138 140
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: [AF>Libristes]Maeda
db: batch=73, k=14, 34 28 10 16 22 16

SPT(16)	788945391898045267	0 6 22 30 42 64 132 190 216 274 342 364 376 384 400 406	-1162287447724
STPT(10)	788945647026056489	0 2 12 14 30 32 48 50 60 62	-907159436502
STPT(10)	788945727068498801	0 2 6 8 48 50 90 92 96 98	-827116994190
SPT(16)	788945980882984993	0 34 46 70 76 90 120 136 144 160 190 204 210 234 246 280	-573302507998
SPT(13)	788946241982862151	0 6 18 48 60 90 108 126 156 168 198 210 216	-312202630840
SPT(16)	788946283113751219	0 30 34 42 48 58 64 70 72 78 84 94 100 108 112 142	-271071741772
STPT(10)	788946614325372617	0 2 72 74 102 104 132 134 204 206	60139879626
SPT(16)	788946830095408333	0 40 100 138 160 166 196 208 228 240 270 276 298 336 396 436	275909915342
SPT(16)	788946945245506193	0 24 44 90 126 128 138 156 458 476 486 488 524 570 590 614	391060013202
STPT(10)	788946995345896097	0 2 60 62 72 74 84 86 144 146	441160403106
STPT(10)	788947189075986539	0 2 18 20 30 32 42 44 60 62	634890493548