Prime p₀= 2537569587552533591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2537569295029732127	0 2 20 54 72 90 164 182 222 240 314 332 350 384 402 404	-292522801464
TPT(14)	2537569317222555527	0 2 30 32 72 74 90 92 162 164 174 176 240 242	-270329978064
STPT(10)	2537569334247753101	0 2 6 8 18 20 30 32 36 38	-253304780490
STPT(10)	2537569396816011287	0 2 30 32 72 74 114 116 144 146	-190736522304
SPT(16)	2537569486719541273	0 4 6 28 30 54 58 60 124 126 130 154 156 178 180 184	-100832992318
STPT(10)	2537569576327415207	0 2 30 32 42 44 54 56 84 86	-11225118384
SPT(16)	2537569817910563213	0 8 50 56 60 66 74 84 110 120 128 134 138 144 186 194	230358029622
SPT(16)	2537570296164825269	0 12 50 78 98 102 104 110 132 138 140 144 164 192 230 242	708612291678
TPT(14)	2537570342064966779	0 2 42 44 102 104 180 182 198 200 228 230 270 272	754512433188
SPT(16)	2537570598388256441	0 2 26 48 86 92 96 138 170 212 216 222 260 282 306 308	1010835722850
STPT(10)	2537570646777266057	0 2 12 14 42 44 72 74 84 86	1059224732466