Prime p₀= 1941095056371311609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 28 2 22 2 34 2 10 2 (?)
a_n: 0 2 108 110 138 140 168 170 192 194 228 230 240 242
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: Landjunge
db: batch=80, k=14, 106 28 28 22 34 10

SPT(16)	1941093661864088549	0 32 44 48 60 72 74 80 132 138 140 152 164 168 180 212	-1394507223060
SPT(16)	1941094291460075093	0 138 140 144 158 216 234 278 306 350 368 426 440 444 446 584	-764911236516
STPT(10)	1941094445602460177	0 2 30 32 42 44 54 56 84 86	-610768851432
STPT(10)	1941094684041122567	0 2 60 62 72 74 84 86 144 146	-372330189042
STPT(10)	1941094888159481531	0 2 36 38 78 80 120 122 156 158	-168211830078
SPT(16)	1941094963498843289	0 12 14 42 48 68 98 102 140 144 174 194 200 228 230 242	-92872468320
SPT(16)	1941095101440740239	0 40 42 114 120 168 190 238 264 312 334 382 388 460 462 502	45069428630
STPT(10)	1941095193588330581	0 2 6 8 48 50 90 92 96 98	137217018972
SPT(16)	1941095300086835941	0 10 12 42 66 70 96 126 136 166 192 196 220 250 252 262	243715524332
STPT(10)	1941095477836499837	0 2 30 32 72 74 114 116 144 146	421465188228
SPT(16)	1941095634952131167	0 14 20 24 44 74 104 170 210 276 306 336 356 360 366 380	578580819558