Prime p₀= 978152661519056711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 16 2 70 2 34 2 28 2 (?)
a_n: 0 2 18 20 30 32 48 50 120 122 156 158 186 188
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: 188
Found by: Spectrum
db: batch=76, k=14, 16 10 16 70 34 28

SPT(18)	978151508928207301	0 46 52 100 102 112 150 156 160 168 172 178 216 226 228 276 282 328	-1152590849410
SPT(16)	978151654065890527	0 4 6 16 100 112 136 142 144 150 174 186 270 280 282 286	-1007453166184
SPT(16)	978152073712787131	0 42 48 60 82 88 118 120 130 132 162 168 190 202 208 250	-587806269580
SPT(16)	978152593267425871	0 22 36 40 102 190 196 246 256 306 312 400 462 466 480 502	-68251630840
SPT(16)	978152598134095919	0 8 38 42 80 98 104 110 162 168 174 192 230 234 264 272	-63384960792
STPT(10)	978152656035768467	0 2 42 44 72 74 102 104 144 146	-5483288244
SPT(16)	978153025518579943	0 28 40 70 76 90 96 114 130 148 154 168 174 204 216 244	363999523232
STPT(10)	978153026993828891	0 2 6 8 18 20 30 32 36 38	365474772180
SPT(16)	978153112394277769	0 22 24 28 48 52 124 160 222 258 330 334 354 358 360 382	450875221058
STPT(10)	978153128160719387	0 2 30 32 60 62 90 92 120 122	466641662676
SPT(16)	978153537827341549	0 42 48 64 114 142 174 234 238 298 330 358 408 424 430 472	876308284838