Prime p₀= 1092019235773008041 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: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1092018320133174871	0 10 30 72 76 90 126 132 136 142 178 192 196 238 258 268	-915639833170
STPT(10)	1092018382759715207	0 2 24 26 42 44 60 62 84 86	-853013292834
TPT(14)	1092018558815095139	0 2 18 20 60 62 252 254 270 272 390 392 480 482	-676957912902
SPT(16)	1092018941973724123	0 10 28 36 64 76 84 90 274 280 288 300 328 336 354 364	-293799283918
SPT(16)	1092019010824869499	0 52 58 72 78 100 108 120 142 154 162 184 190 204 210 262	-224948138542
STPT(10)	1092019113693618347	0 2 12 14 42 44 72 74 84 86	-122079389694
SPT(16)	1092019246987627393	0 10 78 120 144 168 190 234 274 318 340 364 388 430 498 508	11214619352
SPT(16)	1092019310383361821	0 6 40 42 52 60 76 88 90 102 118 126 136 138 172 178	74610353780
SPT(16)	1092019456536135527	0 26 44 54 56 72 80 96 140 156 164 180 182 192 210 236	220763127486
STPT(10)	1092019527433745819	0 2 18 20 30 32 42 44 60 62	291660737778
SPT(16)	1092020132374954711	0 22 60 70 76 102 106 112 126 132 136 162 168 178 216 238	896601946670