Prime p₀= 1273585395959620727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 40 2 76 2 76 2 22 2 (?)
a_n: 0 2 12 14 102 104 144 146 222 224 300 302 324 326
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: 326
Found by: HenkM
db: batch=77, k=14, 10 88 40 76 76 22

SPT(16)	1273584018338290019	0 30 48 62 72 78 110 188 204 282 314 320 330 344 362 392	-1377621330708
SPT(16)	1273584151256309491	0 112 126 130 156 162 190 196 216 222 250 256 282 286 300 412	-1244703311236
TPT(14)	1273584175795012691	0 2 30 32 36 38 120 122 126 128 150 152 240 242	-1220164608036
SPT(16)	1273584473411308021	0 18 36 46 82 108 120 126 172 178 190 216 252 262 280 298	-922548312706
STPT(10)	1273584957134129207	0 2 12 14 42 44 72 74 84 86	-438825491520
STPT(10)	1273584999677221337	0 2 30 32 42 44 54 56 84 86	-396282399390
SPT(16)	1273585431316891103	0 26 48 54 60 66 98 120 164 186 218 224 230 236 258 284	35357270376
SPT(16)	1273585525368238853	0 30 36 38 60 84 86 128 156 198 200 224 246 248 254 284	129408618126
STPT(10)	1273585750933629149	0 2 42 44 120 122 198 200 240 242	354974008422
STPT(10)	1273585972208824031	0 2 6 8 18 20 30 32 36 38	576249203304
SPT(16)	1273586268789624929	0 14 20 44 72 74 104 144 170 210 240 242 270 294 300 314	872830004202