Prime p₀= 1478779267037906681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 16 2 40 2 10 2 16 2 40 2 (?)
a_n: 0 2 108 110 126 128 168 170 180 182 198 200 240 242
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: 242
Found by: bfromcolo
db: batch=78, k=14, 106 16 40 10 16 40

SPT(16)	1478778310241380633	0 16 24 34 64 70 106 150 154 198 234 240 270 280 288 304	-956796526048
SPT(16)	1478778371316448793	0 24 38 68 110 174 230 236 288 294 350 414 456 486 500 524	-895721457888
STPT(10)	1478778388734199739	0 2 42 44 90 92 138 140 180 182	-878303706942
STPT(10)	1478778454283024261	0 2 6 8 48 50 90 92 96 98	-812754882420
SPT(16)	1478778619967236817	0 12 32 66 92 120 126 150 152 176 182 210 236 270 290 302	-647070669864
SPT(16)	1478778751202399089	0 22 28 84 102 130 160 172 270 282 312 340 358 414 420 442	-515835507592
STPT(10)	1478779268277384221	0 2 36 38 78 80 120 122 156 158	1239477540
SPT(16)	1478779399053064729	0 24 60 70 78 88 112 130 192 210 234 244 252 262 298 322	132015158048
SPT(16)	1478779446758259221	0 50 60 66 72 86 90 108 140 158 162 176 182 188 198 248	179720352540
STPT(10)	1478779542132288839	0 2 42 44 60 62 78 80 120 122	275094382158
SPT(16)	1478779580133111677	0 2 32 44 80 84 92 114 122 144 152 156 192 204 234 236	313095204996