Prime p₀= 1014142051145259269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: schoussi
db: batch=76, k=10, 2 46 2 10 2

STPT(10)	1014141515989267871	0 2 6 8 18 20 30 32 36 38	-535155991398
SPT(16)	1014141689959998233	0 14 20 44 84 96 98 138 176 216 218 230 270 294 300 314	-361185261036
STPT(10)	1014141779725281659	0 2 48 50 90 92 132 134 180 182	-271419977610
STPT(10)	1014141836882046317	0 2 30 32 42 44 54 56 84 86	-214263212952
STPT(10)	1014141853596852437	0 2 30 32 72 74 114 116 144 146	-197548406832
SPT(16)	1014141980051016529	0 48 58 60 100 124 138 144 154 160 174 198 238 240 250 298	-71094242740
TPT(14)	1014142182158464631	0 2 138 140 186 188 228 230 306 308 360 362 390 392	131013205362
TPT(14)	1014142337655599651	0 2 36 38 48 50 90 92 120 122 156 158 210 212	286510340382
SPT(16)	1014142519478067757	0 16 30 40 46 84 130 144 166 180 226 264 270 280 294 310	468332808488
STPT(10)	1014142634473407581	0 2 6 8 18 20 30 32 36 38	583328148312
SPT(16)	1014142819277701273	0 6 18 28 96 108 174 196 198 220 286 298 366 376 388 394	768132442004