Prime p₀= 2537569317222555527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 70 2 10 2 64 2 (?)
a_n: 0 2 30 32 72 74 90 92 162 164 174 176 240 242
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: 242
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 40 16 70 10 64

SPT(16)	2537567851491622151	0 30 42 68 90 108 168 170 210 212 272 290 312 338 350 380	-1465730933376
STPT(10)	2537568274860663227	0 2 30 32 42 44 54 56 84 86	-1042361892300
SPT(16)	2537568453114664777	0 12 66 96 112 136 150 156 190 196 210 234 250 280 334 346	-864107890750
TPT(14)	2537568523278488459	0 2 48 50 138 140 180 182 222 224 270 272 282 284	-793944067068
SPT(20)	2537568617826567779	0 2 44 60 68 72 150 168 180 194 198 212 224 242 320 324 332 348 390 392	-699395987748
SPT(16)	2537569295029732127	0 2 20 54 72 90 164 182 222 240 314 332 350 384 402 404	-22192823400
STPT(10)	2537569334247753101	0 2 6 8 18 20 30 32 36 38	17025197574
STPT(10)	2537569396816011287	0 2 30 32 72 74 114 116 144 146	79593455760
SPT(16)	2537569486719541273	0 4 6 28 30 54 58 60 124 126 130 154 156 178 180 184	169496985746
STPT(10)	2537569576327415207	0 2 30 32 42 44 54 56 84 86	259104859680
STPT(10)	2537569587552533591	0 2 36 38 78 80 120 122 156 158	270329978064