Prime p₀= 798112707524428997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 58 2 4 2 58 2 58 2 (?)
a_n: 0 2 42 44 54 56 114 116 120 122 180 182 240 242
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: schoussi
db: batch=73, k=14, 40 10 58 4 58 58

SPT(16)	798111376475962609	0 4 30 64 78 90 112 114 118 120 142 154 168 202 228 232	-1331048466388
SPT(16)	798111579074385959	0 12 38 48 80 108 204 224 258 278 374 402 434 444 470 482	-1128450043038
STPT(10)	798111941576496647	0 2 60 62 72 74 84 86 144 146	-765947932350
SPT(16)	798112354976561531	0 18 36 132 168 188 200 228 260 288 300 320 356 452 470 488	-352547867466
STPT(10)	798112470827657801	0 2 6 8 48 50 90 92 96 98	-236696771196
SPT(16)	798112559478649999	0 22 42 48 64 72 82 108 124 150 160 168 184 190 210 232	-148045778998
SPT(20)	798113042561984837	0 36 50 80 86 140 174 234 242 272 354 384 392 452 486 540 546 576 590 626	335037555840
SPT(16)	798113191811197303	0 16 30 40 70 94 114 136 144 166 186 210 240 250 264 280	484286768306
STPT(10)	798113249642048279	0 2 30 32 120 122 210 212 240 242	542117619282
STPT(10)	798113448729053927	0 2 30 32 42 44 54 56 84 86	741204624930
STPT(10)	798113472506980319	0 2 18 20 30 32 42 44 60 62	764982551322