Prime p₀= 1040136228255861227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 118 2 4 2 22 2 16 2 (?)
a_n: 0 2 72 74 84 86 204 206 210 212 234 236 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 70 10 118 4 22 16

SPT(16)	1040135770573721221	0 28 52 88 130 252 270 306 322 358 376 498 540 576 600 628	-457682140006
SPT(16)	1040135838905132881	0 30 42 112 120 132 160 162 196 198 226 238 246 316 328 358	-389350728346
SPT(16)	1040135895004054847	0 26 50 56 62 102 120 152 174 206 224 264 270 276 300 326	-333251806380
STPT(10)	1040136028210107371	0 2 6 8 48 50 90 92 96 98	-200045753856
SPT(16)	1040136079312874267	0 14 42 50 62 120 122 132 164 174 176 234 246 254 282 296	-148942986960
SPT(16)	1040136121970685767	0 60 74 80 84 96 132 144 152 164 200 212 216 222 236 296	-106285175460
TPT(14)	1040136502392535967	0 2 12 14 180 182 240 242 390 392 402 404 432 434	274136674740
SPT(16)	1040136857121832471	0 16 28 36 60 70 96 100 126 130 156 166 190 198 210 226	628865971244
STPT(10)	1040136862853511299	0 2 30 32 60 62 90 92 120 122	634597650072
SPT(16)	1040137044122406469	0 52 54 64 72 94 120 130 162 172 198 220 228 238 240 292	815866545242
STPT(10)	1040137120480067537	0 2 54 56 72 74 90 92 144 146	892224206310