Prime p₀= 902219712430103129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 60 62 72 74 102 104 108 110 138 140 150 152
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: 152
Found by: Theadalus
db: batch=76, k=14, 58 10 28 4 28 10

STPT(12)	902217640382897957	0 2 24 26 30 32 54 56 60 62 84 86	-2072047205172
SPT(16)	902218122404761451	0 78 126 146 156 158 170 200 258 288 300 302 312 332 380 458	-1590025341678
SPT(16)	902218180964375857	0 10 30 36 40 114 150 154 222 226 262 336 340 346 366 376	-1531465727272
SPT(16)	902218737766205227	0 12 70 76 96 114 124 130 156 162 172 190 210 216 274 286	-974663897902
STPT(10)	902219053831687211	0 2 6 8 48 50 90 92 96 98	-658598415918
SPT(16)	902219139212397557	0 84 92 110 122 150 162 174 182 194 206 234 246 264 272 356	-573217705572
STPT(12)	902219712430103189	0 2 12 14 42 44 48 50 78 80 90 92	60
SPT(16)	902220552118600349	0 12 32 122 162 194 242 248 264 270 318 350 390 480 500 512	839688497220
SPT(16)	902220634040389753	0 48 66 124 144 220 256 264 370 378 414 490 510 568 586 634	921610286624
STPT(10)	902220717150706139	0 2 18 20 30 32 42 44 60 62	1004720603010
SPT(16)	902221300601202499	0 4 52 112 154 180 184 220 282 318 322 348 390 450 498 502	1588171099370