Prime p₀= 3064983597419158757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 22 2 28 2 64 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 114 116 180 182 192 194
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: 194
Found by: vaughan
db: batch=83, k=14, 10 46 22 28 64 10

STPT(10)	3064982918199301961	0 2 36 38 78 80 120 122 156 158	-679219856796
TPT(14)	3064982967580246127	0 2 132 134 204 206 294 296 420 422 450 452 462 464	-629838912630
SPT(16)	3064983020128872889	0 4 28 30 70 100 114 172 210 268 282 312 352 354 378 382	-577290285868
STPT(10)	3064983302766732701	0 2 6 8 48 50 90 92 96 98	-294652426056
TPT(14)	3064983410636518979	0 2 12 14 60 62 150 152 180 182 240 242 252 254	-186782639778
STPT(10)	3064983519139728971	0 2 36 38 78 80 120 122 156 158	-78279429786
SPT(16)	3064983603131661481	0 12 22 28 30 58 72 100 138 166 180 208 210 216 226 238	5712502724
SPT(16)	3064983698187717479	0 18 32 38 90 110 132 192 260 320 342 362 414 420 434 452	100768558722
SPT(16)	3064984011150678931	0 10 42 52 136 166 178 196 222 240 252 282 366 376 408 418	413731520174
TPT(14)	3064984025304936569	0 2 48 50 72 74 90 92 162 164 228 230 282 284	427885777812
SPT(16)	3064984166854661647	0 36 114 120 142 180 204 214 222 232 256 294 316 322 400 436	569435502890