Prime p₀= 1307266444789274909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1307264848062705607	0 22 36 52 64 84 126 130 186 190 232 252 264 280 294 316	-1596726569302
TPT(14)	1307265278053180331	0 2 18 20 30 32 90 92 138 140 198 200 240 242	-1166736094578
SPT(16)	1307265365357442983	0 6 30 86 140 170 174 230 294 350 354 384 438 494 518 524	-1079431831926
STPT(10)	1307265923441432621	0 2 6 8 18 20 30 32 36 38	-521347842288
SPT(16)	1307266179780139801	0 22 28 40 60 102 118 160 180 222 238 280 300 312 318 340	-265009135108
STPT(10)	1307266214770541561	0 2 6 8 48 50 90 92 96 98	-230018733348
SPT(16)	1307266449224580583	0 4 18 46 114 124 156 186 238 268 300 310 378 406 420 424	4435305674
STPT(10)	1307267048993390489	0 2 42 44 90 92 138 140 180 182	604204115580
STPT(10)	1307267094309043409	0 2 12 14 90 92 168 170 180 182	649519768500
SPT(16)	1307267108684362037	0 42 60 72 92 102 116 146 270 300 314 324 344 356 374 416	663895087128
SPT(16)	1307267299454782879	0 12 22 48 70 78 142 160 162 180 244 252 274 300 310 322	854665507970