Prime p₀= 2221436891000444441 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: Penguin
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2221435917064782349	0 22 60 64 72 84 130 150 184 204 250 262 270 274 312 334	-973935662092
STPT(10)	2221436301500338187	0 2 42 44 72 74 102 104 144 146	-589500106254
SPT(16)	2221436328664226533	0 6 34 46 58 66 84 94 150 160 178 186 198 210 238 244	-562336217908
SPT(16)	2221436369382884729	0 12 32 54 60 74 78 80 162 164 168 182 188 210 230 242	-521617559712
SPT(16)	2221436395319948767	0 6 22 24 36 72 90 100 126 136 154 190 202 204 220 226	-495680495674
SPT(16)	2221436585955528523	0 10 18 24 46 70 96 114 220 238 264 288 310 316 324 334	-305044915918
STPT(10)	2221436958934169729	0 2 18 20 30 32 42 44 60 62	67933725288
SPT(16)	2221437264984379357	0 4 10 12 24 130 160 166 180 186 216 322 334 336 342 346	373983934916
STPT(10)	2221437433112133629	0 2 42 44 120 122 198 200 240 242	542111689188
STPT(10)	2221437612629674037	0 2 30 32 42 44 54 56 84 86	721629229596
SPT(16)	2221437867185606369	0 20 24 32 54 60 62 102 110 150 152 158 180 188 192 212	976185161928