Prime p₀= 2322988225838210087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 94 2 22 2 4 2 70 2 (?)
a_n: 0 2 24 26 54 56 150 152 174 176 180 182 252 254
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: 254
Found by: Orange Kid
db: batch=81, k=14, 22 28 94 22 4 70

SPT(16)	2322987397535331269	0 8 30 44 144 198 200 210 242 252 254 308 408 422 444 452	-828302878818
SPT(16)	2322987558572702873	0 18 26 56 98 150 158 168 218 228 236 288 330 360 368 386	-667265507214
TPT(14)	2322987563938541957	0 2 90 92 114 116 120 122 144 146 162 164 174 176	-661899668130
SPT(16)	2322987654423857831	0 18 102 128 132 146 222 236 372 386 462 476 480 506 590 608	-571414352256
STPT(10)	2322987674371171901	0 2 36 38 78 80 120 122 156 158	-551467038186
SPT(16)	2322987848745816547	0 22 52 70 72 106 120 166 180 226 240 274 276 294 324 346	-377092393540
SPT(13)	2322988370575359451	0 6 30 60 66 90 108 126 150 156 186 210 216	144737149364
SPT(16)	2322988449398179681	0 16 28 60 112 178 262 268 270 276 360 426 478 510 522 538	223559969594
SPT(16)	2322988494528623527	0 4 22 36 90 114 124 130 156 162 172 196 250 264 282 286	268690413440
SPT(16)	2322988509494383439	0 14 30 44 48 60 102 114 158 170 212 224 228 242 258 272	283656173352
STPT(10)	2322988958527074569	0 2 42 44 90 92 138 140 180 182	732688864482