Prime p₀= 2697462399749155007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 10 2 40 2 16 2 (?)
a_n: 0 2 12 14 30 32 60 62 72 74 114 116 132 134
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: 134
Found by: JayPi
db: batch=82, k=14, 10 16 28 10 40 16

SPT(16)	2697461916013042099	0 34 94 168 234 250 258 262 330 334 342 358 424 498 558 592	-483736112908
SPT(16)	2697461982152991671	0 8 30 98 116 156 186 198 230 242 272 312 330 398 420 428	-417596163336
STPT(10)	2697462026244992021	0 2 36 38 78 80 120 122 156 158	-373504162986
SPT(16)	2697462212967847553	0 18 30 74 138 200 216 228 296 308 324 386 450 494 506 524	-186781307454
STPT(12)	2697462267050808149	0 2 48 50 90 92 180 182 222 224 270 272	-132698346858
SPT(16)	2697462285120288137	0 26 30 62 92 96 140 144 212 216 260 264 294 326 330 356	-114628866870
STPT(10)	2697462842793869177	0 2 30 32 42 44 54 56 84 86	443044714170
TPT(16)	2697463008695627867	0 2 30 32 90 92 120 122 132 134 204 206 210 212 294 296	608946472860
SPT(16)	2697463133270920403	0 26 44 56 60 90 96 134 180 218 224 254 258 270 288 314	733521765396
STPT(10)	2697463270159050857	0 2 60 62 102 104 144 146 204 206	870409895850
SPT(16)	2697463371825095737	0 30 64 90 96 136 166 196 204 234 264 304 310 336 370 400	972075940730