Prime p₀= 1519271485625852009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: crashtech
db: batch=78, k=10, 2 40 2 16 2

STPT(10)	1519270680486643751	0 2 6 8 18 20 30 32 36 38	-805139208258
STPT(10)	1519270732695165797	0 2 12 14 42 44 72 74 84 86	-752930686212
SPT(16)	1519270808384225543	0 14 36 44 48 80 114 168 176 230 264 296 300 308 330 344	-677241626466
SPT(16)	1519270921556816191	0 10 36 58 66 88 136 142 156 162 210 232 240 262 288 298	-564069035818
SPT(16)	1519270941783737663	0 20 24 26 50 78 96 140 174 218 236 264 288 290 294 314	-543842114346
TPT(14)	1519271072929926191	0 2 30 32 66 68 108 110 150 152 168 170 360 362	-412695925818
STPT(12)	1519271567444880407	0 2 12 14 30 32 114 116 132 134 144 146	81819028398
STPT(10)	1519271839066335437	0 2 30 32 72 74 114 116 144 146	353440483428
SPT(16)	1519271892286849537	0 4 16 36 46 72 102 124 162 184 214 240 250 270 282 286	406660997528
STPT(10)	1519271922487748249	0 2 18 20 30 32 42 44 60 62	436861896240
SPT(16)	1519271987071710461	0 20 30 32 42 72 78 102 116 140 146 176 186 188 198 218	501445858452