Prime p₀= 2393712856846565297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 76 2 16 2 10 2 (?)
a_n: 0 2 24 26 42 44 84 86 162 164 180 182 192 194
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: 194
Found by: Landjunge
db: batch=81, k=14, 22 16 40 76 16 10

SPT(16)	2393711543996953217	0 24 32 60 72 104 122 170 186 234 252 284 296 324 332 356	-1312849612080
STPT(10)	2393711660528785691	0 2 6 8 48 50 90 92 96 98	-1196317779606
TPT(14)	2393711716903994789	0 2 30 32 108 110 120 122 150 152 198 200 222 224	-1139942570508
STPT(10)	2393711828378377457	0 2 30 32 42 44 54 56 84 86	-1028468187840
SPT(16)	2393712210260455957	0 6 12 52 60 64 70 126 130 186 192 196 204 244 250 256	-646586109340
SPT(16)	2393712749467346939	0 24 32 48 104 170 192 260 282 350 372 438 494 510 518 542	-107379218358
SPT(16)	2393712897061259413	0 16 96 168 208 220 226 234 250 258 264 276 316 388 468 484	40214694116
TPT(14)	2393713241368082129	0 2 60 62 138 140 150 152 198 200 210 212 312 314	384521516832
SPT(16)	2393713339251070099	0 42 72 138 160 172 174 184 228 238 240 252 274 340 370 412	482404504802
SPT(16)	2393713547186093731	0 16 46 58 60 82 96 120 148 172 186 208 210 222 252 268	690339528434
SPT(16)	2393713691563769041	0 12 42 46 96 108 112 136 162 186 190 202 252 256 286 298	834717203744