Prime p₀= 2036804637176173157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Dingo
db: batch=80, k=10, 2 40 2 28 2

STPT(10)	2036803502764744001	0 2 36 38 78 80 120 122 156 158	-1134411429156
STPT(10)	2036803550313250217	0 2 30 32 72 74 114 116 144 146	-1086862922940
SPT(16)	2036803574993301013	0 30 58 96 100 106 130 138 298 306 330 336 340 378 406 436	-1062182872144
SPT(16)	2036803960690164751	0 46 88 108 126 156 172 228 280 336 352 382 400 420 462 508	-676486008406
STPT(10)	2036804237606899601	0 2 36 38 78 80 120 122 156 158	-399569273556
STPT(10)	2036804400267764597	0 2 30 32 42 44 54 56 84 86	-236908408560
SPT(16)	2036804690228853227	0 2 20 36 56 62 114 156 200 242 294 300 320 336 354 356	53052680070
STPT(10)	2036804992853915099	0 2 12 14 30 32 48 50 60 62	355677741942
STPT(10)	2036805158146091687	0 2 54 56 72 74 90 92 144 146	520969918530
STPT(10)	2036805519356272331	0 2 6 8 18 20 30 32 36 38	882180099174
STPT(10)	2036805897168023027	0 2 12 14 72 74 132 134 144 146	1259991849870