Prime p₀= 2237221115466405197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 118 2 4 2 148 2 52 2 (?)
a_n: 0 2 42 44 54 56 174 176 180 182 330 332 384 386
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: 386
Found by: Penguin
db: batch=81, k=14, 40 10 118 4 148 52

SPT(16)	2237220472642274321	0 30 66 80 90 108 116 156 182 222 230 248 258 272 308 338	-642824130876
STPT(10)	2237220603587134721	0 2 6 8 48 50 90 92 96 98	-511879270476
SPT(16)	2237220833280313099	0 10 24 60 94 118 204 214 234 244 330 354 388 424 438 448	-282186092098
SPT(16)	2237221040694156973	0 4 10 30 58 114 126 136 228 238 250 306 334 354 360 364	-74772248224
SPT(18)	2237221060659226877	0 2 14 32 50 72 144 156 174 212 230 242 314 336 354 372 384 386	-54807178320
TPT(14)	2237221071411990017	0 2 30 32 54 56 72 74 90 92 132 134 144 146	-44054415180
SPT(16)	2237221327561799231	0 60 72 78 116 170 188 198 230 240 258 312 350 356 368 428	212095394034
SPT(16)	2237221441391386823	0 66 74 114 140 164 176 204 206 234 246 270 296 336 344 410	325924981626
STPT(10)	2237221450179024479	0 2 18 20 30 32 42 44 60 62	334712619282
SPT(16)	2237221603079838989	0 14 20 38 48 54 74 78 80 84 104 110 120 138 144 158	487613433792
SPT(16)	2237221735552598491	0 22 36 82 112 120 126 160 162 196 202 210 240 286 300 322	620086193294