Prime p₀= 978242063499038711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 64 2 70 2 10 2 16 2 (?)
a_n: 0 2 60 62 90 92 156 158 228 230 240 242 258 260
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: 260
Found by: Theadalus
db: batch=76, k=14, 58 28 64 70 10 16

SPT(16)	978241357641896063	0 8 48 50 60 84 104 134 174 204 224 248 258 260 300 308	-705857142648
SPT(16)	978241565256571919	0 2 30 90 92 102 108 140 150 182 188 198 200 260 288 290	-498242466792
SPT(16)	978241625256664621	0 40 48 72 88 102 108 112 156 160 166 180 196 220 228 268	-438242374090
STPT(10)	978241711739440199	0 2 18 20 30 32 42 44 60 62	-351759598512
SPT(16)	978241739938145723	0 6 8 56 74 78 120 144 260 284 326 330 348 396 398 404	-323560892988
STPT(10)	978241842429756299	0 2 48 50 90 92 132 134 180 182	-221069282412
STPT(10)	978242313625811321	0 2 6 8 48 50 90 92 96 98	250126772610
STPT(10)	978242386657795067	0 2 12 14 42 44 72 74 84 86	323158756356
SPT(16)	978242387181308159	0 30 80 102 114 122 152 158 234 240 270 278 290 312 362 392	323682269448
STPT(10)	978242482781343551	0 2 36 38 78 80 120 122 156 158	419282304840
STPT(12)	978242919843047357	0 2 30 32 42 44 102 104 114 116 144 146	856344008646