Prime p₀= 1100027888332130411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 94 2 70 2 28 2 (?)
a_n: 0 2 66 68 78 80 120 122 216 218 288 290 318 320
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: 320
Found by: Theadalus
db: batch=76, k=14, 64 10 40 94 70 28

STPT(10)	1100026144035084767	0 2 12 14 72 74 132 134 144 146	-1744297045644
STPT(10)	1100026583969200241	0 2 6 8 48 50 90 92 96 98	-1304362930170
STPT(10)	1100026892441589491	0 2 36 38 78 80 120 122 156 158	-995890540920
SPT(16)	1100027175196780321	0 12 72 112 130 190 210 240 280 310 330 390 408 448 508 520	-713135350090
STPT(10)	1100027403890664419	0 2 18 20 30 32 42 44 60 62	-484441465992
STPT(10)	1100027630809539161	0 2 36 38 78 80 120 122 156 158	-257522591250
TPT(14)	1100027928649407089	0 2 12 14 90 92 192 194 222 224 258 260 330 332	40317276678
SPT(16)	1100028091463155889	0 42 90 104 108 114 128 240 242 354 368 374 378 392 440 482	203131025478
SPT(16)	1100028329011246507	0 4 10 34 42 52 90 94 162 166 204 214 222 246 252 256	440679116096
SPT(16)	1100028414607326433	0 28 34 76 78 84 138 144 190 196 250 256 258 300 306 334	526275196022
SPT(16)	1100028544346853791	0 20 48 80 92 120 150 158 192 200 230 258 270 302 330 350	656014723380