Prime p₀= 978095711994993041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 196 2 40 2 16 2 76 2 (?)
a_n: 0 2 6 8 30 32 228 230 270 272 288 290 366 368
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: 368
Found by: Daniel
db: batch=76, k=14, 4 22 196 40 16 76

SPT(16)	978094863788341547	0 20 24 30 56 66 80 84 92 96 110 120 146 152 156 176	-848206651494
TPT(14)	978095027781581249	0 2 42 44 180 182 222 224 282 284 288 290 372 374	-684213411792
STPT(10)	978095135922427277	0 2 30 32 42 44 54 56 84 86	-576072565764
SPT(16)	978095156931305207	0 2 12 42 86 90 116 156 200 240 266 270 314 344 354 356	-555063687834
STPT(10)	978095389751797589	0 2 18 20 30 32 42 44 60 62	-322243195452
SPT(16)	978095393970693371	0 80 90 128 158 168 170 198 242 270 272 282 312 350 360 440	-318024299670
SPT(16)	978095748862365799	0 4 30 40 64 108 180 190 228 238 310 354 378 388 414 418	36867372758
STPT(10)	978095759808283559	0 2 18 20 60 62 102 104 120 122	47813290518
SPT(16)	978095820327755737	0 12 34 54 72 100 112 154 180 222 234 262 280 300 322 334	108332762696
SPT(16)	978096555949077751	0 36 96 106 168 196 198 208 228 238 240 268 330 340 400 436	843954084710
SPT(16)	978096760600495979	0 20 42 48 62 78 98 104 108 114 134 150 164 170 192 212	1048605502938