Prime p₀= 1017872115896996147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: stoneageman
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1017871372576572739	0 30 70 78 114 148 162 274 288 400 414 448 484 492 532 562	-743320423408
SPT(16)	1017871398199787179	0 24 28 94 132 168 184 192 220 228 244 280 318 384 388 412	-717697208968
STPT(10)	1017871594689827159	0 2 18 20 60 62 102 104 120 122	-521207168988
STPT(12)	1017871622166946397	0 2 42 44 54 56 90 92 102 104 144 146	-493730049750
SPT(16)	1017871762649515483	0 6 10 34 66 76 90 108 166 184 198 208 240 264 268 274	-353247480664
STPT(10)	1017872012918698031	0 2 6 8 48 50 90 92 96 98	-102978298116
STPT(10)	1017872214615014567	0 2 30 32 42 44 54 56 84 86	98718018420
SPT(16)	1017872328361325141	0 12 18 102 108 126 168 180 188 200 242 260 266 350 356 368	212464328994
TPT(14)	1017872506120008179	0 2 132 134 198 200 222 224 240 242 312 314 378 380	390223012032
STPT(10)	1017872593929307469	0 2 78 80 150 152 222 224 300 302	478032311322
STPT(10)	1017872720998297817	0 2 42 44 72 74 102 104 144 146	605101301670