Prime p₀= 2554499789240859617 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 40 2 10 2 76 2 76 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 132 134 210 212 222 224 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 2 40 2 10 2 76 2

SPT(16)	2554497988365130273	0 6 36 48 60 78 154 160 174 180 256 274 286 298 328 334	-1800875729344
STPT(10)	2554498293506105657	0 2 42 44 72 74 102 104 144 146	-1495734753960
STPT(10)	2554498510172788469	0 2 42 44 90 92 138 140 180 182	-1279068071148
STPT(10)	2554498610181968501	0 2 6 8 18 20 30 32 36 38	-1179058891116
STPT(10)	2554499432360479067	0 2 60 62 102 104 144 146 204 206	-356880380550
SPT(16)	2554499440491350213	0 36 38 68 98 138 180 186 218 224 266 306 336 366 368 404	-348749509404
TPT(14)	2554499789240859617	0 2 42 44 54 56 132 134 210 212 222 224 264 266	0
SPT(16)	2554499814518110127	0 12 26 50 62 74 96 116 120 140 162 174 186 210 224 236	25277250510
STPT(10)	2554499817243028409	0 2 18 20 30 32 42 44 60 62	28002168792
SPT(16)	2554500666478496059	0 22 42 48 52 90 108 132 148 172 190 228 232 238 258 280	877237636442
SPT(16)	2554500919947639373	0 16 88 118 124 130 198 226 228 256 324 330 336 366 438 454	1130706779756