Prime p₀= 1974842777793896207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 76 2 28 2 178 2 (?)
a_n: 0 2 72 74 84 86 114 116 192 194 222 224 402 404
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: 404
Found by: Dingo
db: batch=80, k=14, 70 10 28 76 28 178

SPT(16)	1974841201323698849	0 32 44 74 140 144 170 192 212 234 260 264 330 360 372 404	-1576470197358
SPT(16)	1974842057260230121	0 10 12 42 60 78 112 148 192 228 262 280 298 328 330 340	-720533666086
SPT(16)	1974842197251388111	0 10 22 52 58 78 106 108 160 162 190 210 216 246 258 268	-580542508096
SPT(16)	1974842346411328957	0 12 24 30 34 54 70 82 84 96 112 132 136 142 154 166	-431382567250
STPT(10)	1974842465306446859	0 2 12 14 30 32 48 50 60 62	-312487449348
SPT(16)	1974842580706392521	0 18 42 48 50 68 92 98 102 108 132 150 152 158 182 200	-197087503686
SPT(16)	1974843104225865689	0 18 44 62 72 78 114 132 140 158 194 200 210 228 254 272	326431969482
SPT(16)	1974843181927870721	0 26 42 56 60 80 122 126 206 210 252 272 276 290 306 332	404133974514
STPT(10)	1974843588464219321	0 2 30 32 60 62 90 92 120 122	810670323114
SPT(16)	1974843643620788453	0 8 90 104 120 128 144 170 258 284 300 308 324 338 420 428	865826892246
STPT(10)	1974843716634450419	0 2 18 20 30 32 42 44 60 62	938840554212